Question

Write an exponential function to describe the given sequence of numbers.

9, 54, 324, 1944, 11664,...

Answer 1

a(n) = 9·6^(n-1)

Explanation:

The general term a(n) of a geometric sequence with first term a(1) and common ratio r is given by ...

a(n) = a(1)·r^(n-1)

Your sequence has first term 9 and common ratio 54/9 = 6, so the function describing it is ...

a(n) = 9·6^(n-1)