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| Math Central | Quandaries & Queries |
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Question from Subrahmanya:<br /><br /> n1, n2, n3....................,n1997 are integers not necessarily distinct. (actually in n1, n2,.............., n1997 the numbers 1,2,.................,1997 are subscripts of 'n')<br /><br /> X= (-1)^n1+(-1)^n2+............+(-1)^n998<br /><br /> Y=(-1)^n999+(-1)^n1000+............+(-1)^n1997<br /><br /> Then<br /><br /> which of the following options is true<br /><br /> A) (-1)^X = 1, (-1)^Y = 1 B) (-1)^X = 1, (-1)^Y = -1<br /> |
Hi,
I have a suggestion that I hope will point you in the right direction.
let $k$ be the number of integers in $n_1, n_2, n_3, \cdot \cdot \cdot , n_{998}$ that are even.
Penny
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