A binary operation * is defined by a * b = a\(^b\). If a * 2 = 2 - a, find the possible values of a.
The 3rd term of an A.P is 4x - 2y and the 9th term is 10x - 8y. Find the common difference.
Evaluate (1/2 - 1/4 + 1/8 - 1/16 + ...) - 1