Home
Class 11
MATHS
If in an AP, S(n)= q n^(2) and S(m)= qm^...

If in an AP, `S_(n)= q n^(2) and S_(m)= qm^(2)`, where `S_(r )` denotes the sum of r terms of the AP, then `S_(q)` equals to,

A

`(q^(3))/(2)`

B

mnq

C

`q^(3)`

D

`(m+ n)q^(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems -Fillers|3 Videos

  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems - True/False|5 Videos

  • SEQUENCE AND SERIES

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems -Long Answer Type Question|4 Videos

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise Solutions of NCERT Exemplar Problems (Question of Module)|16 Videos

  • SETS

    KUMAR PRAKASHAN|Exercise QUESTION OF MODULE|28 Videos

Similar Questions

Explore conceptually related problems

If S_n denotes the sum of first n terms of an AP, prove that S_(12) = 3 (S_(8) -S_4)

For as Ap. S_(n)= m and S_(m) = n . Prove that S_(m+n)=-(m+n).(m ne n)

For an AP, if a_(n)=4, d=2 and S_(n)= -14 , find n and a.

If the sum of n terms of an AP is given by S_(n) = 3n+ 2n^(2) , then the common difference of the AP is

If sum_(r=1)^(n)T_(r)=(n(n+1)(n+2)(n+3))/(12) where T_(r) denotes the rth term of the series. Find lim_(nto oo) sum_(r=1)^(n)(1)/(T_(r)) .

If S_(1), S_(2) and S_(3) be respectively the sum of n, 2n and 3n terms of a G.P. Prove that S_(1) (S_(3)-S_(2))= (S_(2)-S_(1))^(2) .

First term a and common ratio r = 1 then sum of n terms on G.P. is S_(n) = na .

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

If the sum of the first n terms of an AP 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 3rd, the 10th and the nth terms .