Tommygdkfoe
Tommygdkfoe Tommygdkfoe
  • 24-01-2019
  • Mathematics
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what is the sum of this infinite geometric series please help

what is the sum of this infinite geometric series please help class=

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aachen
aachen aachen
  • 24-01-2019

Answer:

Option A is correct, i.e. Sum = 1.

Step-by-step explanation:

Given is the infinite geometric series, [tex]\sum\limits^\infty_{i=1} {(0.5)^i}[/tex]

First term is, a = (0.5)¹ = 0.5

and the common ratio is, r = (0.5)²/(0.5)¹ = 0.5

We can find the sum of infinite geometric series using the formula as follows:-

Sum = a/(1-r)

Sum = 0.5/(1 - 0.5)

Sum = 0.5/0.5

Sum = 1

Hence, option A is correct, i.e. Sum = 1.

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