Question 334217
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con·sec·u·tive/k&#601;n&#712;seky&#601;tiv/Adjective
1. Following continuously.
2. In unbroken or logical sequence.


So consecutive integers are just numbers in the order that you would count.  If one is 3 the next consecutive one is 4 and so on.


Let *[tex \Large x] represent the first of two consecutive integers.  How do we get to the next consecutive integer?  Add one, that's how.  So the next consecutive integer has to be *[tex \Large x\ +\ 1]


"Half of the greater" *[tex \Large \frac{x\ +\ 1}{2}]


"Four more than half of the greater" *[tex \Large \frac{x\ +\ 1}{2}\ +\ 4]


"The smaller is" *[tex \Large x\ =\ ]


So:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ x\ =\ \frac{x\ +\ 1}{2}\ +\ 4]


All that is left is to solve for *[tex \Large x]


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