Find the next term in this series.2,18,162, _____

Options

A. 1458
B. 1584
C. 2400
D. 1400

Answer

To find the next term in the series 2, 18, 162, we can observe the pattern in the given numbers.

1. **Identify the relationship between the terms:**
- The first term is 2.
- The second term is 18. We can express 18 as \( 2 \times 9 \).
- The third term is 162. We can express 162 as \( 18 \times 9 \).

2. **Establish a pattern:**
- From the first term to the second term:
\[ 2 \times 9 = 18 \]
- From the second term to the third term:
\[ 18 \times 9 = 162 \]

3. **Apply the same logic to find the next term:**
- We can denote the next term as \( x \).
- Following the established pattern, we can express \( x \) as:
\[ x = 162 \times 9 \]

4. **Calculate the value of \( x \):**
- Now, we multiply:
\[ x = 162 \times 9 = 1458 \]

5. **Conclusion:**
- Therefore, the next term in the series is \( 1458 \).

**Final Answer: 1458**

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