if the pth term of an ap is q and the qth term is

Question

If the p^th term of an AP is q and the q^th term is p. P.T its n^th term is (p+q-n).

Ans:    APQ

a_p = q

a_q = p

a_n = ?

a + (p-1) d = q

a + (q-1) d = p

d[p - q] = q - p  Sub d = -1 to get ⇒ = -1 ⇒ a = q + p -1 a_n = a + (n - 1)d

= a + (n - 1)d

= (q + p - 1) + (n - 1) - 1 an = (q + p - n)