Find the sum of the first 5 terms of the series.

7 - 14 + 28 - 56 + ...

The sum of the first 5 terms of the series is 77.

Step-by-step explanation:

1. Let's review the information provided to us for solving the sum of the first 5 terms of the series:

1st term = 7

2nd term = - 14

3rd term = 28

4th term = - 56

2. Let's solve the sum of the first 5 terms of the series:

Aₙ = Aₙ₋₁ * - 2; A₁ = 7

A₁ = 7

A₂ = A₁ * - 2 = 7 * - 2 = - 14

A₃ = A₂ * - 2 = - 14 * - 2 = 28

A₄ = A₃ * - 2 = 28 * - 2 = - 56

A₅ = A₄ * - 2 = - 56 * - 2 = 112

Sum of the first 5 terms of the series = 7 - 14 + 28 - 56 + 112

Sum of the first 5 terms of the series = 77