Find the sum of the series {1875 + 750 + 300+... +3.072}

Question

asked Apr 28, 2022 53.5k views

1 Answer

Yulin · Answer 1 · 2022-05-02T09:06:16+0000

Answer:

Find the indicated sum for each geometric series.

{1875+750+300+⋯+3.072}

Answer: 3122.952

Explanation:

{1875+750+300+⋯+3.072}

r=0.4 3.072=1875(0.4)n−1

0.0016384=(0.4)n−1

7=n−1→n=8

Sn=1875(1−(0.4)8)1−0.4=3122.952

I think is like this.