Question

For an integer 'm' every even positive integer is of the form-
a) m +1
b) 2m + 1
c) m
d) 2m

Answer 1

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HERE IS YOUR ANSWER ✌✌

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ANSWER ✔ ✔ ✔

- Your answer is (D).....2m. ........if uhh want an odd positive integer uhh can take 2m+1........

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Answer 2

(d) 2m is the answer.

Explanation:

We know that even numbers are 2, 4, 6, 8, 10...
So for an integer 'm', every even positive integer can be written as 2m, where m is an integer.

Alternative explanation:

Let 'a' be a positive integer. On dividing 'a' by 2, let m be the quotient and r be the remainder. Then, by Euclid's division algorithm, we have
a = 2m + r, where a ≤ r < 2 i.e.,r = 0 and r = 1.
⇒ a = 2m or a = 2m + 1
when, a = 2m for some integer m, then clearly a is even.