If the 6th term of a series in Geometric Progression (G.P.) is 32 and the 9th term is 256, find the:

(a) first term and the common ratio.

(b) sum of its first 10 terms.

15, 30, 60, 120 …… are in G.P. (Geometric Progression).

(a) Find the nth term of this G.P. in terms of n.

(b) How many terms of the above G.P. will give the sum 945 ?

In a G.P. the ratio of the sum of first 3 terms is to that of first 6 terms is 125 : 152. Find the common ratio.

A manufacturer reckons that the value of a machine which costs him ₹ 31,250 depreciates each year by 20%. Find its value after 2 years.