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n is an integer.
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11 Dec 2017, 02:48
11 Dec 2017, 02:48
1
Expert Reply
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Question Stats:
77% (00:29) correct
22% (00:39) wrong based on 40 sessions
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n is an integer.
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.
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.
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11 Dec 2017, 02:58
11 Dec 2017, 02:58
1
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.
Any one can confirm this?
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.
Any one can confirm this?
Re: n is an integer.
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14 Dec 2017, 13:55
14 Dec 2017, 13:55
1
Expert Reply
Your explanation is perfect. Nothing to add more to it.
Regards
Regards
