In an A.P. the pth term is q and the (p + q)th term is 0. Then the qth term is
In an A.P. the pth term is q and the (p + q)th term is 0. Then the qth term is
(A) – p
(B) p
(C) p + q
(D) p – q
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1 Answers
(B) is the correct answer
Let a, d be the first term and common difference respectively
Therefore,
Tp = a + (p – 1) d = q and ... (1)
Tp+ q = a + (p + q – 1) d = 0 ... (2)
Subtracting (1), from (2) we get
qd = – q
Substituting in (1) we get
a = q – (p – 1) (–1) = q + p – 1
Now
Tq = a + (q – 1) d = q + p – 1 + (q – 1) (–1)
= q + p – 1 – q + 1 = p
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