Write a definition for the \small n^{th} term of sequence A.

Question

sequence A term number 0,1,2,3,4 Value 1/4 1/2 1. 2 ;4

Answer 1

It's a geometric sequence with common ration r=2, each term is twice the previous term

A0= 1/4

A1 = 2A0 = 2(1/4) = 1/2

A2 = 2A1 = 1

A3 = 2A2 = 2

A4 = 2A3 = 4

AN = 2A(N-1)

the nth term is twice the (n-1)th term