1.

Mathematics

1 answer:

fenix001 [56]2 years ago

3 0

Answer:

r = 3/5

Step-by-step explanation:

S_∞ = a/(1 – r)

A geometric series has first term 2 and sum to infinity 5.

1)Find the common ratio.

= S_∞ = a/(1 – r)

5 = 2/1 - r

Cross Multiply

5(1 - r) = 2

5 - 5r = 2

5 - 2 = 5r

r = 5 - 2/5

r = 3/5

2)Find the sum of the first 10 terms of the series.

The sum of the first 10 terms =

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