Question

Write a recursive function for the following geometric sequence ,6,18,54,162

Answer 1

f(n + 1) = 3f(n) with a₁ = 6

Explanation:

The common ratio r of the geometric sequence is

r = 18 ÷ 6 = 3

Thus to obtain the next term in the sequence multiply the previous term by 3

Expressing this as a recursive function then

f(n + 1 ) = 3f(n) with a₁ = 6