What number should be added to each of the three numbers 1, 7 and 19 so that the resulting three numbers form a geometric progression?

The geometric progression is 6,12,24.

Step-by-step explanation:

Given : Three numbers 1, 7 and 19.

To find : What number should be added to each of  numbers so that the resulting three numbers form a geometric progression?

Solution :

We know that, In geometric progression the ratio between two number is same.

Let x be the number added in three numbers.

So, The sequence form is 1+x, 7+x, 19+x

As their ratios are same so,

Solve the expression,

Terms are

Therefore, The geometric progression is 6,12,24.

(3x-8) or (3x+8)

step-by-step explanation: