Home
Class 11
MATHS
If ‘S’ is the sum of a finite A.P. whose...

If ‘S’ is the sum of a finite A.P. whose first term is ‘a’ and last term is ‘l’, show that its common difference is equal to `(l^2-a^2)/(2S-a-l)`.

Promotional Banner

Similar Questions

Explore conceptually related problems

Find the arithmetic series of n terms whose first term is a and last term is l.

Find the sum of 40 terms of an A.P. whose third term is 1 and 6th term is - 11.

Find the sum of 32 terms of an A.P. whose third term is 1 and the 6th term is -11.

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

Find the sum of first n terms of an A.P. whose nth term is 3n+1.

Prove that the product of first 'n' terms of a G.P., whose first term is ‘a’ and last term is ‘l’ , is (al)^(n/2) .

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) .

Find the sum of an A.P. of :- 26 terms whose nth term is 2n + 5.

Find the nth term of AP whose first term is 12 and common difference is 7.

Write first four terms of A.P. when first term a = 3 and common difference d= 2.