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

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

Question

Roxanne

Mathematics

30 January, 02:04

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

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

+5

Answers (1)

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Stella · 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, ...