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

a0=1
a1=2*1+2=4
a2=2*4+2=10
a3=2*10+2=22

Answer 2

first if \(a_0=1\) then \(a_1=a_{0+1}=2a_0+2=2\times 1+2=4\)

Answer 3

similarly we can find a4,a5,..

Answer 4

my brain did not process that at all...hahah