If p th term of an A.P. is 1/q and q th ...

If `p` th term of an A.P. is `1/q` and `q` th term is `1/p` prove that the sum of the first `pq` terms is `1/2[pq+1]`

Similar Questions

Explore conceptually related problems

If the 10^(th) term of an A.P. is 1/5 and its 20^(th) term is 1/3 , then the sum of its first 150 terms is:

In an A.P., if p^(t h) term is 1/q and q^(t h) term is 1/p , prove that the sum of first pq terms is 1/2(p q+1), where p!=q .

In an A.P., if pth terms is (1)/(q) and qth term is (1)/(p) prove that the sum of first pq tems is (1)/(2)(pq+1) , where pneq.

If the p^(th) term of an A.P is q and q^(th) term is p, prove that its n^(th) term is (p+q-n)

If the p^(th) term of an A.P.is q and the q^(th) term is p, prove that its n^(th)term is(p+q-n)

If p^(th) term of an A.P.is q and the q^(th) term is p .Find the first term of the A.P.

If the sum of p terms of an A.P. is q and the sum of q terms is p , then the sum of the p+q terms will be

If the p th term of AP is (1)/(q) and its q th term is (1)/(p) show that sum of pq terms is (1)/(2)(pq+1)

The p^(th) term of an A.P.is a and q^(th) term is b . Prove that the sum of its (p+q) terms is (p+q)/(2){a+b+(a-b)/(p-q)}