Question

write the sigma notation for the geometric series from the following finite geometric sequence: 100, 80, 64.(1 point)

Answer 1

[AI-generated answer — Bot GPT 3.5]

The finite geometric sequence is 100, 80, 64. The common ratio is 0.8 because 80/100 = 0.8 and 64/80 = 0.8. The first term is a = 100.

Therefore, the general form of the geometric series is given by:

100 + 100*0.8 + 100*(0.8)^2

The sigma notation for this geometric series is:

Σ 100 * (0.8)^(n-1) from n = 1 to 3

This represents the sum of the terms in the sequence 100, 80, 64.