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Nearly geometric series

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Poirot

Banned
Feb 15, 2012
250
Find the sum to infinity of the series $1 +2z +3z^2+4z^3+.......$
 

Opalg

MHB Oldtimer
Staff member
Feb 7, 2012
2,725
Integrate it, find the sum of the integrated series, then differentiate it.