How many terms are in each sequence?

12, 4, 4/3, ......, 4/729

help i dont know how to get answer

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- Nov 15th 2012, 12:42 AMVince604geometric sequence
How many terms are in each sequence?

12, 4, 4/3, ......, 4/729

help i dont know how to get answer - Nov 15th 2012, 01:50 AMa tutorRe: geometric sequence
Your terms are:

Or

- Nov 15th 2012, 05:53 AMSorobanRe: geometric sequence
Hello, Vince604!

Quote:

How many terms are in the sequence?

. .

Help, I don't know how to get answer. . You don't?

The terms are successively divided by three.

So, the veryyou can do is*least***list**the terms.

. .

Gee, it looks liketerms.*eight*

- Nov 15th 2012, 10:58 AMVince604Re: geometric sequence
- Nov 15th 2012, 11:30 AMSorobanRe: geometric sequence
Hello again, Vince604!

Quote:

Is there a faster way (like a formula i can use) to find the eighth term,

without having to list all the terms to get to it?

Yes, there is a formula.

We have a geometric series.

The first term is ; the common ratio is

The n^{th}term is: .

When does: . ?

Solve for

- Nov 15th 2012, 11:53 AMVince604Re: geometric sequence