First term and common difference of an `AP` are `10` and `-4` respectively find `S_(n)` and hence find `S_(25)`.

First term and common differnce of an A.P are 12 and 4 respectively if t_(n) = 96 find n.

The fitst term and the common difference of an A.P. are 12 and 4 respectively . If t_(n) = 96 find n .

The first term and common difference of an A.P. are 3 and -2 respectively . Find its 6th term.

The 1st term and the common difference of an A.P. are 10,000 and 2000 respectively . Find the sum of the first 12 terms.

The ratio of the sum of n terms of two A.P.'s be 5(2n+1):(97-2n) . Find (i) the ratio of their nth terms. Hence, find the ratio of their 16th terms. (ii) If first term and common difference of first A.P. are 3 and 4 respectively, find the second A.P.

If the first and last term of an A.P. are 18 and 82 respectively, then S_(25)=

The first term, common difference and last term of an A.P. are 12,6 and 252 respectively, Find the sum of all terms of this A.P.

Find the common difference if n^(th) term of AP is 7-4n.

Find the first term and common difference of the given AP - a, 2a, 3a, 4a,........