Question

An iterative formula is shown below.

Xn+1
=
2xn
Starting with x₁ = 4, calculate the values of x2, X3
and x4.

Answer 1

8, 16, 32

Explanation:

this iterative formula allows a term to be found by multiplying the previous term by 2, that is

x₂ = 2x₁ = 2 × 4 = 8

x₃ = 2x₂ = 2 × 8 = 16

x₄ = 2x₃ = 2 × 16 = 32