Answer:
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