itisyouboiboi itisyouboiboi
  • 19-05-2020
  • Mathematics
contestada

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

Respuesta :

mhanifa
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
rw77 rw77
  • 12-10-2020

Answer:5/4

Step-by-step explanation:

Answer Link

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