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The value of ∏(k=1)^100(-1) ^k is _________

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The value of ∏(k=1)^100(-1) ^k is _________

(a) 0

(b) 1

(c) -1

(d) 2

This question was addressed to me by my school principal while I was bunking the class.

My question is taken from Sequences and Summations in chapter Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

1 Answer

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Correct answer is (b) 1

Easy explanation: The product of a1, a2, a3 …… an is represented by ∏(i=1)^n ai.

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