telescopic series

telescopic series

[¦tel·ə‚skäp·ik ′sir‚ēz]

(mathematics)

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