The nth term of a sequence is given by (-1)\(^{n-2}\) x 2\(^{n-1}\). Find the sum of the second and third terms.

The 3rd term of an arithmetic progression is -9 and the 7th term is -29. Find the 10th term of the progression

Find the sum to infinity of the following series. 0.5 + 0.05 + 0.005 + 0.0005 + .....

What is the n-th term of the sequence 2, 6, 12, 20...?

Find the 19th term of the A.P. \(\frac{5}{6}\), \(\frac{8}{6}\), \(\frac{11}{6}\).................