show that any positive even integer is of form 6m, 6m+2 or6m+4 where m is some integer.
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veeru29:
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since 6 is a even integer.
when we multiply is by either a even integer or a odd number the answer will be even only.
for example
and on adding 2 and 4 such even numbers the answer will be even only.
let m be 4 a even integer
=> 6*4 = 24
=> 6*4+2 = 26
let m be 5 a positive integer
=> 6*5 = 30
=> 6*5+2 = 32
Hence proved
when we multiply is by either a even integer or a odd number the answer will be even only.
for example
and on adding 2 and 4 such even numbers the answer will be even only.
let m be 4 a even integer
=> 6*4 = 24
=> 6*4+2 = 26
let m be 5 a positive integer
=> 6*5 = 30
=> 6*5+2 = 32
Hence proved
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