Find the sum of the first 10 terms of the following geometric sequence 5, 10, 20, 40, 80, …….

rochioblogmz

rochioblogmz

Answered question

2022-10-13

Find the sum of the first 10 terms of the following geometric sequence 5, 10, 20, 40, 80, …….

Answer & Explanation

Marlene Welch

Marlene Welch

Beginner2022-10-14Added 23 answers

a 0 = 5 , r = 2
We are asked for the sum of the first 10 terms i.e. a 0 , a 1 , ... , a 9
so n=9 in the general geometric sum formula:
XXX Σ i = 0 n = a 0 1 - r n + 1 1 - r
In this case we have
XXX Σ i = 0 9 = 5 1 - 2 10 1 - 2 = 5 × 1023 = 5115

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