In an A.P., if pth term is 1/q and qth term is 1/p, prove that the sum of first pq terms is ½ (pq +1), where p ≠ q.

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asked Feb 10, 2018 in Mathematics by Rohit Singh (61,782 points) 35 133 356
In an A.P., if pth term is 1/q and qth term is 1/p, prove that the sum of first pq terms is ½ (pq +1), where p ≠ q.

1 Answer

+1 vote
answered Feb 10, 2018 by sameer (82,980 points) 5 11 37
selected Feb 14, 2018 by sanjeev
 
Best answer

It is known that the general term of an A.P. is an = a + (n – 1)d According to the given information,

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