Every odd integer a is in the form of ldots l | vedclass

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(B) An integer is defined as odd if it is not divisible by $2$. By Euclid's division lemma,any integer $a$ can be expressed as $a = bq + r$,where $0 \

Vedclass · Accepted Answer

$2k+1$

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(B) An integer is defined as odd if it is not divisible by $2$. By Euclid's division lemma,any integer $a$ can be expressed as $a = bq + r$,where $0 \le r For divisibility by $2$,we take $b = 2$. Thus,$a = 2k + r$,where $r$ can be $0$ or $1$. If $r = 0$,then $a = 2k$,which is an even integer. If $r = 1$,then $a = 2k + 1$,which is an odd integer. Therefore,every odd integer is of the form $2k + 1$ for some integer $k$.

Every odd integer $a$ is in the form of $\ldots \ldots \ldots \ldots$ where,$k \in Z$.

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