HEY TAYLOR HERE AND HERE IS MY RESPONSE AND I DO NOT KNOW IF THIS IS RIGHT OR NOT!!!
You can find an arithmetic sequence by seeing if you have to add or subtract a number in order to get to the next number. Ex. 6,9,12.... you are adding 3 to each number to get to the next. Its formula is tn= t1 +(n-1)d.
You can determine if its geometric sequence by seeing if you need to multiply or divide to get to the next number. Ex. 3,9,27.... you would multiply by 3 to get to each one. Its formula is tn= t1 x r^n-1.
The rules for finding its limits are these:
For Fractions-
1. If the top exponent = the bottom exponent the answer is the coefficient. Ex. lim n to infinity n^2/n^2 its limit is 1/1 or 1 because 2 =2.
2. If the top exponent >the bottom exponent the answer is the +/- infinity. Ex. lim n to infinity n^5/n^4 its limit is + infinity because 5 is > then 4.
3. If the top exponent < the bottom exponent the answer is 0. Ex. lim n to infinity n^2/n^4 its limit is 0 because 2 is < then 4.
4. If those rules do not apply you use a table and figure out what it is approaching. Lim n to infinity r^n=0 if /r/<1. Example lim n to infinity sin(n)=0 because it is adding more and more numbers after the decimal but nothing before the decimal so it is going towards 0.
THAT IS IT FOR THIS BLOG SO UNTIL TOMMORROW I'M OUT PEACE!!!!!
This is Nathan with the week six blog prompt response.
If you have an arithmetic sequence, then the numbers will be either added or subtracted.
Ex. 3,6,9,12,.... d=3. This is arithmetic because you are adding 3 to each number.
50,38,26,14,.... This is arithmetic because you are subtracting 12 from each number.
When you have a geometric sequence, the numbers are being multiplied or divided.
Ex. 5,25,125,625,.... This sequence is geometric because you are multiplying the numbers by 5.
32,16,8,4,.... You are dividing by 2, so it is a geometric sequence.
These are the rules for fractions: 1.) If the top is equal to the bottom, then the answer is the coefficient. 2.) If the top is greater than the bottom, then the answer is +- infinite 3.) If the top is less than the bottom, then the answer is 0.
this is lawrence doing this weeks blog. hope this helps some of yall!
If you have an arithmetic sequence the numbers will be either added or subtracted. they will not be multiplied or divided and watch out for the fractions because you can add to them too.
Ex. 5,10,15,20,.... n=5. This is arithmetic because you are adding 5 to each number.
3,1,-1,-3,.... This is arithmetic because you are subtracting 2 from each number.
When you have a geometric sequence the numbers are being multiplied or divided. don't confuse this with arithmetic. you can also have fractions in these too.
Ex. 4,16,64,256,.... This sequence is geometric because you are multiplying the numbers by 4.
48,24,12,6,.... You are dividing by 2 so it is a geometric sequence and there are no ifs ands or buts about it!!!
These are the rules for fractions: 1. If the top is equal to the bottom then the answer is the coefficient. 2. If the top is greater than the bottom then the answer is +/- infinite 3. If the top is less than the bottom then the answer is 0.
Ex. 3^2+1/4n^2-3n=3/4
6n^3/4n^1-5=infinite
sin(5/n)=0
I hope this helped those who didnt understand any of this, and trust me you arent the only ones who dont get this completely because i still mess up on some of these because idk what i am doing
how do you tell whether it is arithmatic or geometric? why let me show you the way.
for a sequence to be arithmetic, you have to be adding or subtracting the same thing over and over.
ex, 2,4,6,8,10... you are adding two to each, so this is aritmetic you can figure this out by subtracting any two numbers that are next to each other and find that the difference is 2
for a sequence to be geometric, you have to multiplying or dividing the same thing over and overr
16,8,4,2.. you can't find any number that is being added or subtracted so you can rule out aritmetic, so you divide 16 by 8 and you get 2 then you could choose any other numbers and you will find that it will be 2 so 2 is your like ratio and you know its geometric
These are the rules for fractions: 1.) If the top is equal to the bottom, then the answer is the coefficient. 2.) If the top is greater than the bottom, then the answer is +- infinite 3.) If the top is less than the bottom, then the answer is 0
and those are your rules! i missed what limits are all about, i don't know how to do them yet, i will take it upon myself to get some help tomorrow.
when your try to determine whether a sequence is arithmetic you added or subtract the same thing over and over ex.3,6,9,12,15 you are adding three over and over. when your try to determine whether a sequence is geometric you multiply or divide the same thing over and over ex.5,10,20,40,80 you are multiply 2 over and over.
the rules for the limits are 1.) If the top is equal to the bottom, then th e answer is the coefficient .2.) If the top is greater than the bottom, then the answer is +- infinite 3.) If the top is less than the bottom, then the answer is 0 example 8n^2+46n^2-3equals 8/6=4/3
Arithmatic: a sequence is arithmatic if you have to add or subtract a number to get to the next number.
Ex: 3,7,11,15... This is arithmatic because you have to add 4 to each number to get the next term
Ex: 24,22,20,18... This is arithmatic because you have to subtract 2 to each number to get the next term.
Geometric: A sequence is geometric if you have to multiply or divide to get to the next number.
Ex: 4,8,16,32... This is geometric because you have to multiply by 2 to each number to get the next term.
Ex: 40,20,10,5... This is geometric because you have to divide by 2 to each number to get the next term.
Limitsss!!!!
These are the rules for finding the limits of fractions: 1)If the top exponent is equal to the bottom, then the answer is the coefficient of each variable. 2)If the top exponent is greater than the bottom, then the answer is infinity. 3)If the top exponent is less than the bottom, then the answer is 0.
If you have an arithmetic sequence, you add or subtract the numbers.
Ex. 3,6,9,12,.... d=3 you add 3
50,38,26,14,.... This is arithmetic because you are subtracting 12 from each number.
When you have a geometric sequence, you multiplied or divided the numbers.
Ex: 32,-16,8,-4,.... You divide by -2
These are the rules for fractions: 1.) If the top is equal to the bottom, then the answer is the coefficient. 2.) If the top is greater than the bottom, then the answer is +- infinite 3.) If the top is less than the bottom, then the answer is 0.
if it's an arithmetic sequence you would either add or subtract a negative or positive number. ex: 4, 8, 12, 16, 20... ; for this you added 4 to each number starting from 4
if the sequence is geometric, you would have either multiplied or divided by a positive or negative number. ex: 11, 22, 44, 88... ; for this you multiplied by the number 2 starting at 11
the rules for fractions: 1. if degree on top is = to the degree on the bottom the answer is coefficient 2. if the degree on the top is greater than the degree on the bottom the answer is plus or minus infinite 3. if degree on the top is less than the degree on the bottom then the answer is 0 * if the rule doesn't apply, you use a table and figure out what it is approaching.
HEY TAYLOR HERE AND HERE IS MY RESPONSE AND I DO NOT KNOW IF THIS IS RIGHT OR NOT!!!
ReplyDeleteYou can find an arithmetic sequence by seeing if you have to add or subtract a number in order to get to the next number. Ex. 6,9,12.... you are adding 3 to each number to get to the next. Its formula is tn= t1 +(n-1)d.
You can determine if its geometric sequence by seeing if you need to multiply or divide to get to the next number. Ex. 3,9,27.... you would multiply by 3 to get to each one. Its formula is tn= t1 x r^n-1.
The rules for finding its limits are these:
For Fractions-
1. If the top exponent = the bottom exponent the answer is the coefficient. Ex. lim n to infinity n^2/n^2 its limit is 1/1 or 1 because 2 =2.
2. If the top exponent >the bottom exponent the answer is the +/- infinity. Ex. lim n to infinity n^5/n^4 its limit is + infinity because 5 is > then 4.
3. If the top exponent < the bottom exponent the answer is 0. Ex. lim n to infinity n^2/n^4 its limit is 0 because 2 is < then 4.
4. If those rules do not apply you use a table and figure out what it is approaching. Lim n to infinity r^n=0 if /r/<1. Example lim n to infinity sin(n)=0 because it is adding more and more numbers after the decimal but nothing before the decimal so it is going towards 0.
THAT IS IT FOR THIS BLOG SO UNTIL TOMMORROW I'M OUT PEACE!!!!!
This comment has been removed by the author.
ReplyDeleteThis is Nathan with the week six blog prompt response.
ReplyDeleteIf you have an arithmetic sequence, then the numbers will be either added or subtracted.
Ex. 3,6,9,12,.... d=3. This is arithmetic because you are adding 3 to each number.
50,38,26,14,.... This is arithmetic because you are subtracting 12 from each number.
When you have a geometric sequence, the numbers are being multiplied or divided.
Ex. 5,25,125,625,.... This sequence is geometric because you are multiplying the numbers by 5.
32,16,8,4,.... You are dividing by 2, so it is a geometric sequence.
These are the rules for fractions:
1.) If the top is equal to the bottom, then the answer is the coefficient.
2.) If the top is greater than the bottom, then the answer is +- infinite
3.) If the top is less than the bottom, then the answer is 0.
Ex. n^2+1/2n^2-3n=1/2
7n^3/4n^2-5=infinite
sin(1/n)=0
I hope someone learned something.
this is lawrence doing this weeks blog. hope this helps some of yall!
ReplyDeleteIf you have an arithmetic sequence the numbers will be either added or subtracted. they will not be multiplied or divided and watch out for the fractions because you can add to them too.
Ex. 5,10,15,20,.... n=5. This is arithmetic because you are adding 5 to each number.
3,1,-1,-3,.... This is arithmetic because you are subtracting 2 from each number.
When you have a geometric sequence the numbers are being multiplied or divided. don't confuse this with arithmetic. you can also have fractions in these too.
Ex. 4,16,64,256,.... This sequence is geometric because you are multiplying the numbers by 4.
48,24,12,6,.... You are dividing by 2 so it is a geometric sequence and there are no ifs ands or buts about it!!!
These are the rules for fractions:
1. If the top is equal to the bottom then the answer is the coefficient.
2. If the top is greater than the bottom then the answer is +/- infinite
3. If the top is less than the bottom then the answer is 0.
Ex. 3^2+1/4n^2-3n=3/4
6n^3/4n^1-5=infinite
sin(5/n)=0
I hope this helped those who didnt understand any of this, and trust me you arent the only ones who dont get this completely because i still mess up on some of these because idk what i am doing
how do you tell whether it is arithmatic or geometric? why let me show you the way.
ReplyDeletefor a sequence to be arithmetic, you have to be adding or subtracting the same thing over and over.
ex, 2,4,6,8,10...
you are adding two to each, so this is aritmetic
you can figure this out by subtracting any two numbers that are next to each other and find that the difference is 2
for a sequence to be geometric, you have to multiplying or dividing the same thing over and overr
16,8,4,2..
you can't find any number that is being added or subtracted so you can rule out aritmetic, so you divide 16 by 8 and you get 2
then you could choose any other numbers and you will find that it will be 2
so 2 is your like ratio and you know its geometric
These are the rules for fractions:
1.) If the top is equal to the bottom, then the answer is the coefficient.
2.) If the top is greater than the bottom, then the answer is +- infinite
3.) If the top is less than the bottom, then the answer is 0
and those are your rules!
i missed what limits are all about, i don't know how to do them yet, i will take it upon myself to get some help tomorrow.
when your try to determine whether a sequence is arithmetic you added or subtract the same thing over and over
ReplyDeleteex.3,6,9,12,15
you are adding three over and over.
when your try to determine whether a sequence is geometric you multiply or divide the same thing over and over
ex.5,10,20,40,80
you are multiply 2 over and over.
the rules for the limits are
1.) If the top is equal to the bottom, then th
e answer is the coefficient
.2.) If the top is greater than the bottom, then the answer is +- infinite
3.) If the top is less than the bottom, then the answer is 0
example
8n^2+46n^2-3equals 8/6=4/3
Here is my weekk 6 bloggg postt!
ReplyDeleteArithmatic: a sequence is arithmatic if you have to add or subtract a number to get to the next number.
Ex: 3,7,11,15...
This is arithmatic because you have to add 4 to each number to get the next term
Ex: 24,22,20,18...
This is arithmatic because you have to subtract 2 to each number to get the next term.
Geometric: A sequence is geometric if you have to multiply or divide to get to the next number.
Ex: 4,8,16,32...
This is geometric because you have to multiply by 2 to each number to get the next term.
Ex: 40,20,10,5...
This is geometric because you have to divide by 2 to each number to get the next term.
Limitsss!!!!
These are the rules for finding the limits of fractions:
1)If the top exponent is equal to the bottom, then the answer is the coefficient of each variable.
2)If the top exponent is greater than the bottom, then the answer is infinity.
3)If the top exponent is less than the bottom, then the answer is 0.
Ex: 2x^4/3x^4 = the answer is 2/3
Ex: x^2-1/4x^3 = the answer is 0
If you have an arithmetic sequence, you add or subtract the numbers.
ReplyDeleteEx. 3,6,9,12,.... d=3 you add 3
50,38,26,14,.... This is arithmetic because you are subtracting 12 from each number.
When you have a geometric sequence, you multiplied or divided the numbers.
Ex: 32,-16,8,-4,.... You divide by -2
These are the rules for fractions:
1.) If the top is equal to the bottom, then the answer is the coefficient.
2.) If the top is greater than the bottom, then the answer is +- infinite
3.) If the top is less than the bottom, then the answer is 0.
Ex. n^2+1/2n^2-3n=1/2
7n^3/4n^2-5=infinite
sin(1/n)=0
Charlie's blog...
ReplyDeleteif it's an arithmetic sequence you would either add or subtract a negative or positive number.
ex: 4, 8, 12, 16, 20... ; for this you added 4 to each number starting from 4
if the sequence is geometric, you would have either multiplied or divided by a positive or negative number.
ex: 11, 22, 44, 88... ; for this you multiplied by the number 2 starting at 11
the rules for fractions:
1. if degree on top is = to the degree on the bottom the answer is coefficient
2. if the degree on the top is greater than the degree on the bottom the answer is plus or minus infinite
3. if degree on the top is less than the degree on the bottom then the answer is 0
* if the rule doesn't apply, you use a table and figure out what it is approaching.