Question

Identify the 15th term of the geometric sequence 52, 39, 29.25

Answer 1

What's the common ratio? (r)

Answer 2

It would be 0.75
(39/52 = 0.75
29.25/39 = 0/75)

And the formula to find any term in a geometric sequence is \[\huge x_{n} = ar^{n-1}\]

Answer 3

The first term is 52 (a)

\[\huge x_{15} = 52 * 0.75^{15-1} \approx 0.9265\]