Question

In a given AP if pth term is q and the qth term is p then show that the
nth term is (p+q-n).
(CBSE 2008)​

Answer 1

Answer:

pth term = q

a+(p−1)d=q

qth term = p

a+(q−1)d=p

Solving these equations, we get,

d=−1

a=(p+q−1)

Thus,

nth term = a+(n−1)d=(p+q−1)+(n−1)×(−1)=(p+q−n)

Step-by-step explanation:

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