If the pth term of an A P is q and the qth term is p then its rth term is ........

Quantitative Aptitude ( CCS) Arithmetic progression

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If the pth term of an A.P. is q and the qth term is p, then its rth term is

p + q – r

p - q – r

r + q + p

None of these

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Explanation:

Let first term be a and common difference be d.
pth term = a + (p-1)d = q -----(i)
qth term = a + (q-1)d = p -----(ii)
(ii) - (i) gives
(q - p)d = p - q or d = -1
(i) gives a = q - (p-1)d = q - (p-1)(-1) = q + p - 1
Hence,
rth term = a + (r-1)d = q + p -1 + (r-1)(-1) = q + p -1 + r +1 = p + q - r