For some integer m, every even integer is of the form


We know that an integer is said to be even when it is divisible by 2.


Let m be a integer i.e. m = -1, 0, 1, 2, 3, 4,…..


Multiplying both the sides by 2


2m = -2, 0, 2, 4, 6, 8,.……


Adding 1 on both the sides


2m + 1 = -2 + 1, 0 + 1, 2 + 1, 4 + 1, 6 + 1, 8 + 1,…..


2m + 1 = -1, 1, 3, 5, 7, 9,….


Hence, for some integer m, every even integer is of the form 2m.

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