The sum of n terms of a series is n(n+1) . Prove that it is an A.P. also find its 10th term.

(a) The sum of 'n' terms of a progression is n(n + 1). Prove that it is an A..P. Also find its 10th term. (b) The sum of 'n' terms of a progression is (3n^(2) - 5n). Prove that it is an A.P. (c) If the sum of n terms of a series is (5n^(2) + 3n) then find its first five terms.

(a) The sum of 'n' terms of a progression is n(n + 1). Prove that it is an A..P. Also find its 10th term. (b) The sum of 'n' terms of a progression is (3n^(2) - 5n). Prove that it is an A.P. (c) If the sum of n terms of a series is (5n^(2) + 3n) then find its first five terms.

Find the sum to n terms of a series is 7n^2-5n . Show that it is an AP and find the 15^th term.

(i) The nth term of a progression is 2n+1. Prove that it is an A. P. Also find its 5th term. (ii) The nth term of a progression is linear expansion in 'n' . Show that it is an A.P. (iii) The nth term of a progression is (n^(2)+1) . Show that it is not an A.P.

The nth term of a progression is 2n+3. Show that it is an A.P. Also find is 10th term.

The nth term of a progression is 2n+3. Show that it is an A.P. Also find is 10th term.

The nth term of a sequence is 3n-2 is the sequence an A.P.? If so, find its 10th term.

The n^(th) term of a sequence is given by T_n = 2n + 7. Show that it is an A.P. Also, find its 7^(th) term.

If the nth term of an A.P. is (3-7n), find its 10th term.

If the nth term of an A.P. is (3-7n), find its 10th term.