A nice summation problem from a math olympiad

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A nice summation problem from a math olympiad

#ThePhysicsMathsWizard #ChallengingMathProblems #MathOlympiad
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You can shortcut all of 3:28 .. 8:44 in getting the partial fraction expansion by noting the absence of higher-order terms in k², k³ forces symmetry on the coefficients, so you know by inspection that A=C=0, D=-B. Saves 5 minutes of algebra.

stephenmcinerney
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