Question

The first 3 terms of a geometric sequence are as follows. -2, 10, -50. find the next 2 terms

Answer 1

The next two terms for the geometric sequence are 250 and - 1,250

Explanation:

1. Let's find the next two terms for the geometric sequence which first three terms are as follows:

- 2, 10, - 50.....

Aₓ = Aₓ₋₁ * - 5 ; A₁ = - 2

A₁ = - 2

A₂ = A₁ * - 5 = -2 * - 5 = 10

A₃ = A₂ * - 5 = 10 * - 5 = - 50

A₄ = A₃ * - 5 = - 50 * - 5 = 250

A₅ = A₄ * - 5 = 250 * - 5 = - 1,250

The next two terms for the geometric sequence are 250 and - 1,250