Question

If the ph term of an AP is q and the qu term is P, prove that its nth term is (p+q-n)
If m times the mth term of an AP is equal to n times its nth term, show that the (m + n)th​

Answer 1

Solution"

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)