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

f (n + 1) = 3f (n) with a₁ = 6

Step-by-step 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