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Compute the value of:

\(\dfrac{1}{5} + \dfrac{3}{25} + \dfrac{7}{125} + \dfrac{15}{625} + \dfrac{31}{3125} + \cdots.\)

 Jun 13, 2023
 #1
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sum of a geometric series is equal to a/(1-r), where a is the first term and r is the common ratio. In this case, the sum is equal to

1/5 / (1-(3/5)) = 1/(2/5) = 5/2 

 Jun 13, 2023
 #5
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he or she tried

be nicer

Guest Jun 14, 2023
 #6
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Actually, I identify as NON BINARY. STOP ASSUMING MY GENDER.

Guest Jun 14, 2023
 #4
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sumfor(n, 1, 10000, (2^n - 1) / 5^n)==5 / 12

 Jun 13, 2023

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