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 April 22nd, 2016, 01:17 PM #1 Newbie   Joined: Apr 2016 From: newcastle Posts: 14 Thanks: 0 Using series manipulations to find the sums of finite series Hi Quick question I'm having difficultly with, if I have a problem like this, finding the sum of finite series Then I can use this formula But if I have a question like this Can I still just use this formula Or do I have to add on this formula to the second part Any help is greatly appreciated. Thanks, Steve Last edited by skipjack; April 30th, 2016 at 03:25 PM. April 22nd, 2016, 01:40 PM #2 Math Team   Joined: Jul 2011 From: Texas Posts: 3,034 Thanks: 1621 $\displaystyle \sum_{k=21}^{44} \left(\dfrac{k^3}{6} - 2k^2\right) = \displaystyle \dfrac{1}{6} \sum_{k=21}^{44} k^3 - 2\sum_{k=21}^{44} k^2$ also, note ... $\displaystyle \sum_{k=21}^{44} a_n = \sum_{k=1}^{44} a_n - \sum_{k=1}^{20} a_n$ Thanks from stevewilliams Tags find, finite, manipulations, series, sums Thread Tools Show Printable Version Email this Page Display Modes Linear Mode Switch to Hybrid Mode Switch to Threaded Mode Similar Threads Thread Thread Starter Forum Replies Last Post extreme112 Calculus 3 February 1st, 2015 05:28 PM tahrabd Real Analysis 2 June 16th, 2012 07:46 AM xdeathcorex Calculus 4 August 31st, 2010 11:03 AM peka0027 Real Analysis 3 April 2nd, 2009 05:22 AM thomas Real Analysis 3 October 30th, 2007 09:03 AM

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