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

User Joey Yi Zhao
by
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2 Answers

5 votes

Answer:5/4

Explanation:

User Berend
by
6.6k points
3 votes

Answer:

  • 5/4

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
User Kawan
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5.9k points
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