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M =3m + 1

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M =3m + 1

Posted by Vidhi Choudhary 6 years, 5 months ago

CBSE > Class 10 > Mathematics

1 answers

Sia ? 6 years, 5 months ago

Let n be an arbitrary positive integer.
On dividing n by 3, let m be the quotient and r be the remainder.
The positive integer is in the form of 3m or (3m + 1) or (3m + 2)
Then, by Euclid's division lemma, we have
n = 3m + r, where {tex}0 \leq r < 3{/tex}.
{tex}\therefore{/tex} n = 3m or (3m +1) or (3m + 2), for some integer m.
Thus, any positive integer is of the form 3m or (3m + 1) or (3m + 2) for some integer m.

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Posted by Hari Anand 6 months, 2 weeks ago

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Posted by Kanika . 1 month, 1 week ago

CBSE > Class 10 > Mathematics