Question

Write a recursive rule for the sequence 3, 6, 12, 24, 48 f(1) = _______f(n)= _______, where n is an integer and n ≥ 2.

Answer 1

f(1) is given by the first term of the recursive rule:

f(1) = 3

The rest of the terms can be obtained as follow:

f(n) = 2f(n - 1)

You can verify that with the previous recursive rule you obtain the given sequence:

3, 6, 12, 24, 48