Question

If the $n^{th}$ term of an A.P. is $a_n=3+2n$, then the common difference $d$ is

• A. $2$
• B. $3$
• C. $4$
• D. $5$

Answer 1

Answer: (A)

$2$

The common difference of an A.P. is given by $a_{n+1}-a_n$

$\therefore d=a_{n+1}-a_n=3+2(n+1)-(3+2n)=2n+2-2n=2$

Hence, the common difference $d=2$