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4, 9, 16, 25, 49, 121...

4, 9, 16, 25, 49, 121

A

4

B

9

C

16

D

121

Text Solution

AI Generated Solution

The correct Answer is:
To solve the series 4, 9, 16, 25, 49, 121, we need to identify the pattern in the sequence. ### Step-by-Step Solution: 1. **Identify the Numbers**: The given numbers are 4, 9, 16, 25, 49, and 121. 2. **Find the Square Roots**: Let's find the square roots of these numbers: - √4 = 2 - √9 = 3 - √16 = 4 - √25 = 5 - √49 = 7 - √121 = 11 3. **List the Square Roots**: The square roots we calculated are 2, 3, 4, 5, 7, and 11. 4. **Identify the Pattern**: Now, let's analyze the square roots: - The numbers 2, 3, 5, and 7 are prime numbers. - The number 4 is not a prime number (it is 2 squared). - The number 11 is also a prime number. 5. **Recognize the Sequence**: The sequence appears to consist of the squares of prime numbers, except for the number 4: - 2² = 4 (not a prime) - 3² = 9 - 5² = 25 - 7² = 49 - 11² = 121 6. **Conclusion**: The odd one out in this series is 16 because it is the square of 4, which is not a prime number. Therefore, the answer is 16. ### Final Answer: The odd number in the series is **16**. ---
To solve the series 4, 9, 16, 25, 49, 121, we need to identify the pattern in the sequence. ### Step-by-Step Solution: 1. **Identify the Numbers**: The given numbers are 4, 9, 16, 25, 49, and 121. 2. **Find the Square Roots**: Let's find the square roots of these numbers: - √4 = 2 ...
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