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19-05-2020
Mathematics

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What is the sum of this infinite geometric series? 1/4, 1/5, 4/25, 16/125

Respuesta :

mhanifa mhanifa

12-10-2020

Answer:

5/4

Step-by-step explanation:

Given infinite geometric series

1/4, 1/5, 4/25, 16/125, ...

We see that

a = 1/4
r = 4/5

Sum of the series

S = a*1/(1 -r)
S = 1/4*1/(1 - 4/5) = 1/4*1/(1/5) = 1/4*5 = 5/4

Answer Link

12-10-2020

Answer:5/4

Step-by-step explanation:

Answer Link

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