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blsea [12.9K]
3 years ago
9

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

Mathematics
2 answers:
GuDViN [60]3 years ago
6 0

Answer:5/4

Step-by-step explanation:

Pepsi [2]3 years ago
4 0

Answer:

  • 5/4

Step-by-step explanation:

<u>Given infinite geometric series</u>

  • 1/4, 1/5, 4/25, 16/125, ...

<u>We see that</u>

  • a = 1/4
  • r = 4/5

<u>Sum of the series</u>

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