What is the value of the 9th term in the following geometric sequence? 3, 12, 48, 192, a. 96 b. 786,429 c. 105 d. 196,608

 The correct option is (D) 196608.

Step-by-step explanation:  We are given to find the value of the 9th term in the following geometric sequence :

3,     12,    48,    192,    .     .     .

We know that

the n-th term of a geometric sequence with first term a and common ratio r is given by

For the given sequence, we have

first term, a = 3  and the common ratio, r is given by

Therefore, the 9th term of the given sequence will be

Thus, the required 9th term of the given sequence is 196608.

Option (D) is CORRECT.

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