What will be the next term of this series? 2, 6, 18, 54, ?

Question:

What will be the next term of this series? 2, 6, 18, 54, ?

Options:

A. 82

B. 112

C. 146

D. 162

Answer:

D. 162 is the answer.

Solution:

The next term in the series 2, 6, 18, 54, ? is 162.

The series is a geometric sequence, which means that each term is equal to the previous term multiplied by a constant value. In this case, the constant value is 3. So, to find the next term, we simply multiply the last term, 54, by 3. This gives us 162.

Here is a step-by-step solution:

1. The first term in the series is 2.
2. The common ratio in the series is 3.
3. The next term in the series is 54 x 3 = 162.

Here is the complete series:

2, 6, 18, 54, 162, ...

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