Question

A sequence is given by the function an = 4an-1 . If a1= 3, what is the value of a6 ?

Answer 1

3072

Explanation:

a1 = 3

an = 4 an-1

so a2 = 4 (a1) = 4*3 = 12

a3 = 4 a2 = 4(12) = 48

a4 = 4*a3 =4*48 =192

a5 =4a4 = 4*192 =768

a6 =4*a5 =4*768 = 3072