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 Evaluate the series 1/3^1 + 4/3^2 + 1/3^3 + 4/3^4 + ...

 May 9, 2022
 #1
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The sum is equal to 5/3.

 May 9, 2022
 #2
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sumfor(n, 1, 100,  1/(3^(2*n - 1))  +  4 / 3^(2*n))==It converges to 7/8

 May 9, 2022
 #3
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Assuming the coefficients are always 1, 4, 1, 4, 1, 4 so on:

 

 

131+432+133+434+=13(1+19+192+)+432(1+19+192+)=(13+49)(1119)=78

 May 9, 2022

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