Determine the common ratio and find the next three terms of the geometric sequence

Option (b) is correct.

The three terms of the GP are with common ratio

Step-by-step explanation:

Consider the given geometric sequence

Geometric sequence is a sequence of numbers where each term  is find by multiplying the previous one by a fixed number called the common ratio (r).

Consider the first two terms of the given GP.

thus r can be find by dividing ar by a,

thus the common ratio is

Now we have to find the next three terms of GP . so multiply r in given last term to obtain next three terms , we get ,

Thus, the three terms of the GP are with common ratio .

Option (b) is correct.

the correct option is b

step-by-step explanation: