Question

If $m$ times the $m^{th}$ term of an A.P. is equal to $n$ times its $n^{th}$ term, find the $(m+n{)}^{th}$ term of the A.P.

• A. $1$
• B. $0$
• C. $-1$
• D. $2$

Answer 1

The correct option is B $0$

let the first be and common difference is .
Given m times the mth term = n times the nth term
Recall that the nth term of AP is
Similarly, the mth term of AP is









But,

Hence, (m+n)th term of an AP is zero.