Sunday, November 14, 2010

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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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