Find the sum of the first 30 terms in this geometric series - 5 - 4 - 16/5

-24.97 to the nearest hundredth.

Step-by-step explanation:

First term a1 = - 5.

Common ratio r = - 4/-5 = 4/5.

Sum of n terms = a1 * [1 - (4/5) ^n] / (1 - 4/5)

Sum of 30 terms = - 5 * (1 - (4/5) ^30) / 1/5

= - 25 * (1 - (4/5) ^30)

= - 24.97