If the sum of n terms of an A.P. is (pn+...

If the sum of n terms of an A.P. is `(pn+qn^2)`, where p and g are constants, find the common difference.

Topper's Solved these Questions

SEQUENCES AND SERIES
MODERN PUBLICATION|Exercise EXERCISE|435 Videos
RELATIONS AND FUNCTIONS
MODERN PUBLICATION|Exercise EXERCISE|226 Videos
SETS
MODERN PUBLICATION|Exercise EXERCISE|381 Videos

Similar Questions

Explore conceptually related problems

If the sum of n terms of an A.P. is (pn + qn^2) , where p and q are constants, find the common difference.

If the sum of n terms of an A.P is nP+1/2 n(n-1)Q , where P and Q are constant, find the common difference.

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

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 + 5n and its m^(th) term is 164, find the value of m.

If the sum of n terms of an A.P. is given by delta_n=3n+2n^2 , then the common difference of an A.P. is

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) .

The sum of first 2n terms of an AP is alpha . and the sum of next n terms is beta, its common difference is

If the sum of first n terms of an A.P. is cn^(2) then the sum of squares of these n terms is

Find the Sum of 5th term of A.P if a=1 , d=2

MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE

Find the sum of first 100 natural numbers.
Text Solution
|
Find the sum to n terms of the A.P. whose kth term is 5k + 1.
Text Solution
|
If the sum of n terms of an A.P. is (pn+qn^2), where p and g are const...
Text Solution
|
If the sum of a certain number of terms of the A.P. 25, 22, 19, .. . i...
Text Solution
|
Find the sum of 32 terms of an A.P. whose third term is 1 and the 6th ...
Text Solution
|
If the first term of an A.P. is 2 and the sum of the first five terms ...
Text Solution
|
If the first term of an A.P. is 2 and the sum of the first five terms ...
Text Solution
|
If the 12th term of an A.P. is -13 and the sum of the first four terms...
Text Solution
|
Show that the sum of n consecutive odd integers beginning with 1 equal...
Text Solution
|
Show that the sum of first n even numbers is equal to (1+1/n) times th...
Text Solution
|
Find the sum of odd integers from 1 to 2001. (A) 100200 (B) 1002001 (C...
Text Solution
|
Find the sum of all natural numbers between 99 and 1001 which are mult...
Text Solution
|
Find the sum of first hundred even natural numbers divisible by 5.
Text Solution
|
Find the sum of all integers between 50 and 500, which are divisible b...
Text Solution
|
Find the sum of all numbers between 200 and 400 which are divisible by...
Text Solution
|
How many terms are there in A.P. whose first and fifth terms are -14 a...
Text Solution
|
If the sum of the first n terms of a sequence is of the form An^2+ Bn,...
Text Solution
|
If the 5th and 12th terms of an A.P. are 30 and 65 respectively, what ...
Text Solution
|
If the first term a1 of an A.P. is 22, the common difference d = -4 an...
Text Solution
|
In an A.P., if p^(th) term is 1/q and q^(th) term is 1/p, prove that t...
Text Solution
|