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

Find the sum to n terms of the A.P. whose kth term is 5k + 1.

Write first four terms of A.P. when first term a = -2and common difference d= 0.

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

Write first four terms of A.P. when first term a = 4 and common difference d = 3.

Find the sum to n terms of the A.P., whose k^(th) term is 5k+ 1 .

The sum of n terms of an A.P. whose first term is 5 and common difference is 36 is equal to the sum of 2n terms of another A.P. whose first term is 36 and common difference is 5. Find n.

Write first four terms of the A.P. when the first term a = 4 and common difference d = -3 .

Write first four terms of the A.P. when the first term a = 4 and common difference d = - 3.

By the Principle of Mathematical Induction, prove the following for all n in N : The nth term of an A.P. whose first term is 'a’ and common difference ‘d' is a + (n-1) d.