An arithmetic progression ,,,..... 51219 has 50 terms. Find its last term. Hence find the sum of its last 15 terms.

The sum of first 20 terms of an AP is 400 and sum of first 40 terms is 1600. Find the sum of its first 10 terms.

If the sum of first n term of an an AP is given by \(S_{n} = 3n^{2} + 4n\) Determine the AP and the nth term

Find the sum of all odd number between 0 and 50

If the ratio of the 11th term of an AP to its 18th term is 2 : 3, find the ratio of the sum of the first five term of the sum of its first 10 terms.

The 13th term of an AP is four times its 3rd term. If the fifth term is 16, then find the sum of its first ten terms.

If the sum of first m terms of an AP is same as the sum of its first n terms , (m≠n) show that the sum of its first (m + n) terms is zero.

Find the sum of the integers between 100 and 200 that are divisible by 6.

If the sum of first four terms of an AP is 40 and that of first 14 terms is 280. Find the sum of its first n terms

The first term of an AP is 3, the last term is 83 and the sum of all its terms is 903. Find the number of terms and the common difference of the AP

Find the 60th term of the AP 8,10,12,... if it has a total of 60 terms and hence find the sum of its last 10 terms.

Find the value of , ab and c such that the numbers  a, 7, b,23 and c are in AP