Home
Class 12
MATHS
Let Sn denote the sum of first n terms o...

Let `S_n` denote the sum of first n terms of an AP and `3S_n=S_(2n)` What is `S_(3n):S_n` equal to? What is `S_(3n):S_(2n)` equal to?

A

(a) 9

B

(b) 6

C

(c) 16

D

(d) 12

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise For Session 3|15 Videos
  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise For Session 4|10 Videos
  • SEQUENCES AND SERIES

    ARIHANT MATHS|Exercise Exercise For Session 1|5 Videos
  • PROPERTIES AND SOLUTION OF TRIANGLES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|21 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos

Similar Questions

Explore conceptually related problems

The sum of n terms of an A.P. is 3n^2 + 4n . Find the A.P.

If the sum of n terms of an A.P. is 3n^2 + 2n : Find the rth term.

Let the sum of n, 2n, 3n terms of an A.P. be S_1 , S_2 and S_3 , respectively, show that S_3 = 3(S_2 - S_1)

If S_(1),S_(2),S_(3) be respectively the sum of n, 2n and 3n terms of a GP, then (S_(1)(S_(3)-S_(2)))/((S_(2)-S_(1))^(2)) is equal to

Find the sum S_n of the cubes of the first n terms of an A.P. and show that the sum of first n terms of the A.P. is a factor of S_n .

If S_n denotes the sum of n terms of an A.P. whose first term is a, and the common difference is d Find: = Sn - 2Sn + S(n +2) .

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 two terms ? What is the second term ? Similarly, find the 3rd, the 10th and the nth terms.

If S_1,S_2,S_3 be the sum of n, 2n, 3n terms of a G.P., show that : S_1(S_3-S_2)= (S_2-S_1)^2 .

In an A.P. third term is 14 and 8th term is 34. Find S_n and S_(20) .