this week i wish i didn't skip thursday because i had soo much trouble on my homework that it wasn't even funny..
this week, we learned about chapter 13
this chapter is about sequences, which is a list of numbers, there are two kinds
Arithmetic- add the same number to every term
Geometric- multiply by the same number for each number
if you divide the numbers in a sequences and you find a like ratio, then its geometric
here are your formulas
arithmetic- t(n)=t1 +(n-1)d
geometric= t(n)=t1 x r ^n-1
where d is what is being added or subtracted and where r is what you are multiplying by
example=t(n)=4(n)-3 find the four first terms
t1=4(1)-3=1
t2=4(2)-3=5
t3=4(3))-3=9
t4=4(4)-3=13
and from this you can determine that it is an aritmetic sequence
example 2
3,7,11,15... find a formula for the nth term
you take your fomula(arithmetic)
you know that tn is the total number
you know that t1 is the first number in the sequence
and you know that d is the number being added or subtracted
you can tell you are adding by the information given
now you just plug in your formula
tn=3 +(n-1)4
then simplify
tn=3+4n-4
tn=4n-1
and there ya have it
i only have one example of this same process but with geometric and i can't do geometric,i needd some help tomorrow B-Robbbb
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