Sn is the sum of the first n terms of a series given by Sn = n\(^2\) - 1. Find the nth term
The nth term of a sequence is given \(3^{1 - n}\), find the sum of the first three terms of the sequence.
Two binary operations \(\ast\) and \(\oplus\) are defines as m \(\ast\) n = mn - n - 1 and m \(\oplus\) n = mn + n - 2 for all real numbers m, n.
Find the value of 3 \(\oplus\) (4 \(\ast\) 5)
If X \(\ast\) Y = X + Y - XY, find x when (x \(\ast\) 2) + (x \(\ast\) 3) = 68
