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Find-the-sum-of-the-nth-term-of-the-series-1-1-2-3-1-4-5-6-1-7-8-9-




Question Number 44965 by Tawa1 last updated on 06/Oct/18
Find the sum of the nth term of the series:    (1/(1.2.3)) + (1/(4.5.6)) + (1/(7.8.9))  + ...
$$\mathrm{Find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{nth}\:\mathrm{term}\:\mathrm{of}\:\mathrm{the}\:\mathrm{series}:\:\:\:\:\frac{\mathrm{1}}{\mathrm{1}.\mathrm{2}.\mathrm{3}}\:+\:\frac{\mathrm{1}}{\mathrm{4}.\mathrm{5}.\mathrm{6}}\:+\:\frac{\mathrm{1}}{\mathrm{7}.\mathrm{8}.\mathrm{9}}\:\:+\:…\: \\ $$

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