nayersonyafaninaA nayersonyafaninaA

22-10-2016
Mathematics

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What is the sum of the first five terms of a geometric series with a1 = 20 and r = 1/4?

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nobillionaireNobley nobillionaireNobley

26-10-2016

sum of the first n terms of a geometric sequence is Sn = a(1 - r^n)/(1 - r)
Sn = 20(1 - (1/4)^5)/(1 - 1/4) = 20(1 - 1/1024)/(3/4) = 20(1023/1024)/(3/4) = 26 41/64

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Nathanjj Nathanjj

19-06-2021

Answer:

1705/64

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