If every term of a series in geometric progression is multiplied by a real number, then the resulting series also will be in geometric progression. [True/False]

All the multiples of 3 form a geometric progression. [True/False]

Properties of geometric progression| Geometric mean

If p, q, r be in arithmetic progression, then show that the pth, qth and rth terms of any geometric series will be in geometric progression.

A series whose terms are in Geometric progression is called …….

If the fourth term of a series in geometric progression is 24 and the seventh term is 192, find the sum of its first ten terms.

Standard results|Some special series| Arithmetic geometric progression

The first, second and seventh terms of an arithmetic progression (all the terms are distinct) are in geometric progression and the sum of these three terms is 93. Then, the fourth term of this geometric progression is

The first, second and seventh terms of an arithmetic progression (all the terms are distinct) are in geometric progression and the sum of these three terms is 93. Then, the fourth term of this geometric progression is

If 2, 7, 9 and 5 are subtraced respectively from four numbers in geometric progression, then the resulting numbers are in arithmetic progression. The smallest of the four numbers is

If 2, 7, 9 and 5 are subtraced respectively from four numbers in geometric progression, then the resulting numbers are in arithmetic progression. The smallest of the four numbers is