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Mathematics 19 Online
OpenStudy (anonymous):

Find the first six terms of the sequence. a1 = -8, an = 5 • an-1

OpenStudy (anonymous):

-8, -40, -200, -1000, -5000, -25,000 is what i'm thinking

OpenStudy (anonymous):

@jdoe

OpenStudy (anonymous):

@SolomonZelman

OpenStudy (solomonzelman):

You got the common ratio and the first term.

OpenStudy (solomonzelman):

YES

OpenStudy (solomonzelman):

The terms are all correct.

OpenStudy (solomonzelman):

You need just the terms, or maybe also their sum ?

OpenStudy (anonymous):

just the first 6 terms.

OpenStudy (solomonzelman):

Okay

OpenStudy (anonymous):

do you think you could help me with other problems on this thread?

OpenStudy (solomonzelman):

Yes, sure.

OpenStudy (solomonzelman):

You are either very good at getting used to new websites such as openstudy, or you had a different account before. (I would think the first one )

OpenStudy (anonymous):

i am new.

OpenStudy (anonymous):

Find an equation for the nth term of the arithmetic sequence. a10 = 32, a12 = 106

OpenStudy (solomonzelman):

At first you need to find the difference. But by equation do you mean to find the \(\large\color{blue}{ a_n=a_1+d(n-1) }\) or \(\large\color{blue}{ a_n=a_{n-1}+d }\) ?

OpenStudy (solomonzelman):

\(\large\color{blue}{ a_{12}=a_{10}+2d }\)

OpenStudy (solomonzelman):

the last one is to find the difference.

OpenStudy (anonymous):

the 1st one you wrote

OpenStudy (solomonzelman):

Okay, from \(\large\color{blue}{ a_{12}=a_{10}+2d }\) can you find the difference?

OpenStudy (anonymous):

d=37

OpenStudy (anonymous):

is that right?

OpenStudy (solomonzelman):

(106-32)÷2=37... correct.

OpenStudy (solomonzelman):

Then, for \(\large\color{blue}{ a_n=a_1+d(n-1) }\)

OpenStudy (solomonzelman):

You need to find a1, can you do that?

OpenStudy (anonymous):

no, could you help me?

OpenStudy (solomonzelman):

\(\large\color{blue}{ a_{12}=a_1+37(12-1) }\)

OpenStudy (anonymous):

a12=-301

OpenStudy (anonymous):

how am i suppose to know its a12 or a10?

OpenStudy (anonymous):

oh, i get it.

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