Question

Let{sn} be a geometric sequence that starts with an initial index of 0. The initial term is 16 and the common ratio is1/2. What is s3

Answer 1

Answer: 2

Work Shown:

s0 = 16 = initial term

s1 = 16*(1/2) = 8 = second term

s2 = 8*(1/2) = 4 = third term

s3 = 4*(1/2) = 2 = final answer

Each time we need a new term, we multiply by 1/2 which is the same as dividing by 2.