Question Detail

MTH 101 Arithmetic Progression Objective Question

Question

If the sum of the first p terms of an AP is q and the sum of the first q terms is p, find the sum of the first (p + q) terms.
Options
A -(p + q)
Correct Answer
B p + q
C 0
D p - q
Correct Answer

Option A is the correct answer.

Detailed Explanation

Solving the system for 2a and d leads to 2a + (p + q - 1)d = -2. Multiplying by (p + q)/2 yields S_{p+q} = -(p + q).

Hint

No hint available

Question Info