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 June 17th, 2018, 03:39 AM #1 Member   Joined: Oct 2012 Posts: 64 Thanks: 0 infinite series Find 3/13+33/13^2+333/13^3+3333/13^4+....
 June 17th, 2018, 05:35 AM #2 Senior Member     Joined: Sep 2015 From: USA Posts: 2,094 Thanks: 1088 write the series as $\displaystyle \sum \limits_{k=1} \dfrac{10^k-1}{3\cdot 13^k}$ this is then the scaled difference of two geometric series whose values should be easy enough to compute. Thanks from skeeter, fahad nasir and Country Boy

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