Question

A sequence is defined below.

f(0) = 7
f(n) = 2f(n-1) -3 for n ≥ 1, where n is an integer

What is the third number in the sequence?

Answer 1

We have,
f (0) = 7
f (1) = 2f (1-1)-3 = 2×7-3 = 11
f (2) = 2f (2-1)-3 = 2×11-3 = 22 - 3 = 19
Hence 19 is the third no. in the sequence