What is the explicit rule for this geometric sequence? 29,23,2,6,...

an=3(29)^n^−1

an=2/9⋅3^n

an=2/9⋅3^n^-1

an=3(29)^n

Question

What is the explicit rule for this geometric sequence? 29,23,2,6,...

an=3(29)^n^−1

an=2/9⋅3^n

an=2/9⋅3^n^-1

an=3(29)^n

mathmale · Answer

I've just noticed:  "29,23,2,6,..." does not appear to be a geometric sequence.  Please double-check:   have you copied down the problem correctly?

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This being a geometric sequence, you need to determine what the "common ratio" is.  That's the number by which you multiply one term by in order to obtain the next term.

If one term is 2 and the common ratio is 7, then the next term is (2)(7) = 14.

What is the "common ratio" in this particular problem?

oddplum · Answer

It was 2/9, 2/3, 2, 6 sorry @mathmale

mathmale · Answer

What an improvement!

By what number do you multiply 2/9 to obtain 2/3?

mathmale · Answer

I believe you meant 2/9, 2 /3, 2, 6, ...

There is a single multiplier that will take you from 2/9 to 2/3, from 2/3 to 2, and from 2 to 6.  What is that multiplier?  It's your "common ratio."

mathmale · Answer

Suggestion:  Please go thru all four possible answer choices, ensuring that each looks exactly like the original problem.

Your "an=3(29)^n^−1" needs to be re-typed (or written by hand) as 

a_n=3(2/9)^(n-1)

By hand:|dw:1481645420607:dw|

oddplum · Answer

Okay...Thanks