Find the sum to n terms of the sequence 8,88,888,888,…..

48

Find a G.P. for which sum of first two terms is -4 and the fifth term is 4 times the third term.

49

If the 4^th, 10^th and 16^th terms of a G.P. are x, y and z, respectively. Prove that x, y, z are in G.P.

51

Find the sum of the products of the corresponding terms of the sequence 2, 4, 8, 16, 32 and 128, 32, 8, 2, .

52

Show that the products of the corresponding, terms of the sequences a, ar, ar², ….ar^{n – 1} and A, AR, AR²,……AR^{n – 1} form a G.P. and find the common ratio.