If the pth term of an AP is k, then what is the sum of the pth, (p+q)th and (p-q)th terms of this AP?
Answer
The correct answer is B: 3k. The (p+q)th and (p-q)th terms are equidistant from the pth term, so their sum equals 2 × (pth term) = 2k. Adding the pth term itself: k + 2k = 3k.
A.2k
B.3k✓ Correct
C.4k
D.5k
Explanation
The (p+q)th and (p-q)th terms are equidistant from the pth term, so their sum equals 2 × (pth term) = 2k. Adding the pth term itself: k + 2k = 3k.
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