Question

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

Answer 1

Answer:

-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