Question Detail

MTH 101 Arithmetic Progression Objective Question

Question

In an AP, if the m-th term is n and the n-th term is m (where m != n), what is the (m + n)-th term?
Options
A 0
Correct Answer
B m + n
C -(m + n)
D 1
Correct Answer

Option A is the correct answer.

Detailed Explanation

The common difference is d = (n - m)/(m - n) = -1, and a = m + n - 1. Thus, T_{m+n} = a + (m + n - 1)(-1) = 0.

Hint

No hint available

Question Info