telescopic series

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telescopic series [¦tel·ə‚skäp·ik ′sir‚ēz]

(mathematics)

The series whosenth term is 1/[(k+n- 1) (k+n)] = [1/(k+n- 1)] - [1/(k+n)], wherekis not zero or a negative integer, and whose sum is 1/k.

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