Home
Class 12
MATHS
In an AP, if the pth term is 1/q and qth...

In an AP, if the pth term is `1/q` and qth term is `1/p`. Then, the sum of first pq terms is

A

(pq+1)

B

`1/2(pq+1)`

C

`1/2(pq-1)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
Doubtnut Promotions Banner Mobile Dark
|

Similar Questions

Explore conceptually related problems

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 .

The pth term of an A.P.is a and qth term is b Then find the sum of its (p+q) terms.

Knowledge Check

  • 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.

    A
    `1/2 (pq+1)`
    B
    `1/3 (pq+1)`
    C
    `(pq+1)`
    D
    None
  • If the pth term of an A.P. is q and qth term is p then its rth term will be

    A
    `p-q+r`
    B
    `p+q-r`
    C
    `p+r-q`
    D
    `p-q-r`
  • Similar Questions

    Explore conceptually related problems

    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)

    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]

    In an AP, the pth term is q and ( p +q) term is 0. Then, prove that its qth term is p.

    If the pth term of an A.P.is q and the qth term is p, then find its rth term.

    If the p^(th) term of an A.P.is (1)/(q) and q^(th) term is (1)/(p) and sum of pq terms is 25pq, then find the value of pq.

    3.If the Pth term of an A.P.is 1/q and qth term is 1/p and sum of pq terms is 25pq, then find the value of pq.