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

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

Question

Mathematics

Krish

22 June, 17:45

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

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

+2

Answers (1)

Know the Answer?

Urijah Hanson · Answer 1

a (n) = 9·6^ (n-1)

Step-by-step 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)

Write an exponential function to describe the given sequence of numbers.9, 54, 324, 1944, 11664, ...

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

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