Question

How do I find the 15th term of the geometric sequence 52, 39, 29.25 ...?

Answer 1

is that supposed to be, 29, 25? or is it 29.25?

Answer 2

it's 29.25

Answer 3

The common ratio is 39/52 = 0.75
The formula for the n^th term of a geometric series is
\[n ^{th}\ term=ar ^{n-1}\]
where a is the first term and r is the common ratio.
The 15th term is
\[52\times (0.75)^{14}=you\ can\ calculate\]

Answer 4

So the 15th term would be \[a _{15} ≈ 0.93\]

Answer 5

right?

Answer 6

You are correct, if the rounding is as specified in the question.

Answer 7

Okay, thanks for the help!