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90% (00:26) correct
9% (00:08) wrong based on 11 sessions

n is an integer.

Quantity A

Quantity B

\((-1)^n(-1)^{n+2}\)

\(1\)

A. Quantity A is greater. B. Quantity B is greater. C. The two quantities are equal D. The relationship cannot be determined from the information given.

Re: n is an integer. [#permalink]
11 Dec 2017, 02:58

1

This post received KUDOS

Hello,

Since (-1)^n is multiplied with (-1)^n+1 and has the same basis we can add both -1^n+n+2 which is -1^2n+2

We know that any even or odd numbers (n could be 2,4,6 or 3,5,7), it will always lead to an even answer. The result is therefore always even. The +2 added afterwards will keep the answer even. We know that a negative number with an exponent will always lead to a positive answer so -1 becomes 1. The result is C.