📐 Mathematics · Sequences and Series · JEE

In an AP, the p-th term is q and q-th term is p. The (p+q)-th term is:

Answer: 0.

Correct answer: B. 0

Explanation: a+(p-1)d = q and a+(q-1)d = p. Subtracting: (p-q)d = -(p-q), d = -1. Then a = p+q-1. a(p+q) = a+(p+q-1)d = p+q-1+(p+q-1)(-1) = 0.

Bar heights for AP 2, 5, 8, 11 with the common difference d=3 marked between consecutive terms.

Concept context

Arithmetic progressions, geometric progressions, and sums