If p term of ap is 1/q and qterm is1/p then prove pq term is 1

1.	If p term of ap is 1/q and qterm is1/p then prove pq term is 1
Answer» ap\xa0= 1/qa+ (p-1) d = 1/q -(i)aq\xa0= 1/pa+ (q-1)d = 1/p -(ii)Subtracting (i) & (ii)d (p-1-q+1) = 1/q- 1/pd(p-q) = (p-q)/ pqd = 1/pq - (iii)Putting it in eqn (i)a = 1/pq -(iv)apq\xa0= a + (pq-1) dPutting (iii) & (iv)apq\xa0= 1/pq + (pq-1) / pqapq\xa0= 1\xa0

Discussion