Question

The sequence {an} is defined by a0 = 1 and

an+1 = 2an + 2 for n = 0, 1, 2, ... .
What is the value of
a3 ?

Answer 1

The solution to the problem is as follows:

Just plug in the numbers and follow the pattern.

a0 = 1

a1 = 2*1 + 2 = 4

a2 = 2*4 +2 = 10

a3 = 2*10 +2 = 22

I hope my answer has come to your help. God bless and have a nice day ahead!