Home
Class 10
MATHS
If the p^(th) term of an A.P. is (1)/(q)...

If the `p^(th)` term of an A.P. is `(1)/(q)` and `q^(th)` term is `(1)/( p)`, show that the sum of `pq` terms is `((pq+1) )/(2)`.

Text Solution

Verified by Experts

The correct Answer is:
`= (pq)/(2) [ (2+pq-1)/(pq) ] = (pq+1)/(2)`.
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSIONS

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISE (Exercise 1.1)|4 Videos

  • ARITHMETIC PROGRESSIONS

    ZEN PUBLICATION|Exercise TEXTUAL EXERCISE (Exercise 1.2)|20 Videos

  • ARITHMETIC PROGRESSIONS

    ZEN PUBLICATION|Exercise TO FIND THE NTH TERM OF AN A.P. (ILLUSTRATIVE EXAMPLES)|11 Videos

  • AREA RELATED TO CIRCLES

    ZEN PUBLICATION|Exercise ADDITIONAL QUESTIONS (HIGHER ORDER THINKING SKILLS)|7 Videos

  • CIRCLES

    ZEN PUBLICATION|Exercise ZEN ADDITIONAL QUESTIONS ( HOT [HIGHER ORDER THINKING SKILLS] - QUESTIONS) (IIT AND IMO)|9 Videos

Similar Questions

Explore conceptually related problems

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

If mth term of an AP is 1/n and its nth term is 1/m , then show that its (mn)th term is 1

IF m^(th) term of an A.P. is n and n^(th) term is m, then find p^(th) term?

The 10th term of an A.P. is (-4) and the 22nd term is (-16) . Find the 38th term.

If the 9^(th) terms of an A.P is zero , prove that 29^(th) term is double the 19^(th) term .

The sixth term of a H.P is 1/61 and the 10^(th) term is 1/105.then the first term of that H.P is

If the sum of the first n^(th) terms of an A.P is 4n-n^(2) , what is the first term (that is S_(1) ) ? What is the sum of first two terms? What is the second term? Similarly, find the 3^(rd) , the 10^(th) and the n^(th) terms.

If 29th term of an A.P is twice its 19th term, then the 9th term is