In an Arithmetic progression the sum of first four terms is 20 and the sum of first three terms is 12 then find the fourth term of the arithmetic

In a geometric progression, the sum of first three terms is 35 and the sum of squares of the first three terms is 525. The second term of the geometric progression is

In an arithmetic series, the sum of the first 2n terms is half the sum of the first 3n terms. If a = 12 and d = 3, find the value of n.

Four numbers are in arithmetic progression.The sum of first and last terms is 8 and the product of both middle terms is 15. The least number of the series is.

Consider an arithmetic progression whose first term is a . if the sum of the first ten terms is zero and the sum of next ten terms is -200 then find the value of a .

Suppose the sum of the first m teams of a arithmetic progression is n and the sum of its first n terms is m, where mnen. Then the dum of the first (m + n) terms of the arithmetic progression is

For an arithmetic progression, first term is -7 and the last tem is 53. If the sum of all the term is 483, then find the number of terms and the common difference.

The sum of first three terms of a G.P. is 15 and sum of next three terms is 120. Find the sum of first n terms.

If the sum of the first 100 terms of an arithmetic progression is -1 and the sum of the even terms is 1, then the 100^("th") term of the arithmetic progression is

The first, second and seventh terms of an arithmetic progression (all the terms are distinct) are in geometric progression and the sum of these three terms is 93. Then, the fourth term of this geometric progression is