Find the sum of the first 7 terms of the following series 10,4,8/5

Israel Varea asked Aug 28, 2023

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Israel Varea asked Aug 28, 2023

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10 votes

Answer:

16.6

Explanation:

Since the numbers are decreasing as multiples, its a geometric progression.

$S_(n)=(a(1-r^(n) ))/(1-r) ; r\\eq 1 \ and\ r \ is\ less\ than\ 1\\common\ ratio=(4)/(10)=(2)/(5)\\ S_(7)=(10(1-(2/5)^(7) ))/(1-(2/5)) \\=16.6$

Waffleau answered Sep 1, 2023

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