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Mathematics : Summation of 1 - 1 + 1 - 1

Consider, S = 1 - 1 + 1 - 1 + . . . 1 - S = 1 - (1 - 1 + 1 - 1 + . . .) 1 - S = 1 - 1 + 1 - 1 + 1 - . . . 1 - S = S Here left S and right S are different. If we take odd number of terms then left S is 1 and right S is 0. If we take even number of terms then left S is 0 and right S is 1. Thank you. Praveen Kumar Sirohiwal