The form of any odd positive integer a is ... | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(B) By Euclid's division lemma,any positive integer $a$ can be expressed in the form $a = bq + r$,where $0 \le r < b$. For $b = 2$,the possible values

Vedclass · Accepted Answer

$2m + 1$

Vedclass · Answer

(B) By Euclid's division lemma,any positive integer $a$ can be expressed in the form $a = bq + r$,where $0 \le r For $b = 2$,the possible values of $r$ are $0$ and $1$. Thus,$a = 2m + 0 = 2m$ (which is an even integer) or $a = 2m + 1$ (which is an odd integer). Therefore,any odd positive integer is of the form $2m + 1$.

The form of any odd positive integer $a$ is .......... where $m$ is some integer.

Similar Questions

The $LCM$ of $7, 11,$ and $17$ is .......

The $HCF$ of $6$ and $20$ is .......

Find the Least Common Multiple $(LCM)$ of $6, 72,$ and $120$.

If the Least Common Multiple $(LCM)$ of two numbers is equal to their product,then their Greatest Common Divisor $(GCD)$ is . . . . . . .

If $\frac{x^{3}-1}{p(x)}=\frac{x^{2}+x+1}{x-1}$,then $p(x) = \dots$

Vedclass Test Series

Exam Paper Generator

Online Exam Module