Question 543101
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You state that "the sum of two consecutive integers is 86."  That is an untrue statement.  It is impossible.  If you have two consecutive integers, then one of them is even and the other is odd.  But the sum of an odd number and an even number is an odd number whereas 86 is an even number.


The *[tex \Large n]th even integer is *[tex \Large 2n] for all integers *[tex \Large n] and the *[tex \Large m]th odd number is *[tex \Large 2m\ -\ 1] for all integers *[tex \Large m].  Their sum is:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 2n\ +\ 2m\ -\ 1]


But


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ \frac{2n\ +\ 2m\ -\ 1}{2}\ =\ n\ +\ m\ -\ 0.5]


which is not an integer, hence the sum *[tex \Large 2n\ +\ 2m\ -\ 1] is odd by definition.


John
*[tex \LARGE e^{i\pi} + 1 = 0]
My calculator said it, I believe it, that settles it
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