Find the missing terms in the following geometric sequence.
a.
48, 162
c.
96, 192
b.
116, 220
d.
36, 108

select the best answer from the choices provided

a
b
c
d

D. 36, 108

Step-by-step explanation:

In the geometric series the ratio of two consecutive term is constant and this ratio is called the common ratio,

Let n be the common ratio of the given series,

Then the GP will be,

12, 12×n, 12×n×n, 324,

Again by the definition of Geometric series,

Thus, the required series is,

12, 12×3, 36×3, 324

= 12, 36, 108, 324

⇒ Option D is correct.

The correct option is d. 36, 108

Explanation:

We are given the below series:

12,___, ___, 324

In geometric series every number after the first is found by  multiplying the previous term by a fixed number.

The given series can be written as:

Therefore, the option d. 36, 108 is correct

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step-by-step explanation: