If pth term of ap is q and qth term is p. p.t its nth term, Mathematics

If the pth term of an AP is q and the qth term is p. P.T its nth term is (p+q-n).

Ans:    APQ

ap = q

aq = p

an = ?

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 an = a + (n - 1)d

= a + (n - 1)d

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

 

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