If the second term of a G.P. is 2 and the sum of its infinite term is 8, then find its first term

If 2^(nd) term of GP is 2 and the sum of infinite terms is 8 find the first term

If the 10 th term of an A.P.is 21 and the sum of its first ten terms is 120, find its nth term.

The second term of a GP is 24 and its fifth term is 81. Find the sum of its first five terms.

The sum of the 4th and the 8 the terms of an AP is 24 and the sum of its 6th and 10th terms is 44. Find its first term.

If the sum of first n terms of a G.P. is s and the sum of its first 2n terms is 5S, then show that the sum of its first 3n terms is 21S .

If the sum of first n terms of a G.P. is S and the sum of its first 2n terms is 5S, then show that the sum of its first 3n terms is 21S.

If the first term of an A.P. is 3 and the sum of its first 25 terms is equal to the sum of its next 15 terms, then the common difference of this A.P. is:

The sum of the 3rd and the 4th terms of a G.P. is 60 and the product of its first three terms is 1000. If the first term of this G.P. is positive, then its 7th term is

The twelfth term of an A.P. is (-13) and the sum of its first four terms is 24, find the sum of first 12 terms of the A.P.