Question

A sequence is recursively defined as a(n)=2a(n-2) for values of n>2. Find the seventh term of the sequence if a(1)=0 and a(2)=1

Answer 1

a(7) = 0

Explanation:

Using the recursive formula and a(1) = 0, a(2) = 1 , then

a(3) = 2a(1) = 2(0) = 0

a(4) = 2a(2) = 2(1) = 2

a(5) = 2a(3) = 2(0) = 0

a(6) = 2a(4) = 2(2) = 4

a(7) = 2a(5) = 2(0) = 0