Is the sequence 81, 27, 9, 3, ... a geometric progression? If so, find its common ratio.

Find the 8th term of the geometric progression 3, 6, 12, ...

The first term of a geometric progression is 5 and the common ratio is -2. Find the 6th term.

Which term of the geometric progression 2, 8, 32, ... is 2048?

The 3rd term of a geometric progression is 24 and the 6th term is 192. Find the common ratio and the first term.

The first three terms of a geometric progression are (x-1), (x+2), and (x+8). Find the value of x.

Find the sum of the first 6 terms of the geometric progression 1, 3, 9, ...

Find the sum of the first 8 terms of the G.P. 64, 32, 16, ...

How many terms of the geometric progression 2, 6, 18, ... must be taken for the sum to be 2186?

The sum of the first and second terms of a G.P. is 12. The sum of the third and fourth terms is 108. Find the two possible common ratios.

The first term of a geometric progression is 81 and its sum to infinity is 243. Find the common ratio.

Find the sum of the first n terms of the progression 5,10,20,...

The second term of a G.P. is 6 and the fifth term is -48. Find the sum of the first 5 terms.

A ball is dropped from a height of 81m. Each time it bounces, it rises to 32​ of the previous height. Find the total distance it travels before coming to rest.

The nth term of a progression is given by Tn​=3×2n−1. Show that it is a geometric progression and find the sum of its first 5 terms.