The first term of a geometric progression is twice its common ratio. Find the sum of the first two terms of the G.P if its sum to infinity is 8.

The 3rd term of an A.P is 4x - 2y and the 9th term is 10x - 8y. Find the common difference.

The fifth term of an A.P is 24 and the eleventh term is 96. Find the first term.

The sum of the first n terms of the arithmetic progression 5, 11, 17, 23, 29, 35, ... is?

Find to infinity, the sum of the sequence \(1, \frac{9}{10}, \left(\frac{9}{10}\right)^2, \left(\frac{9}{10}\right)^3,.....\)