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Select the missing number from the given...

Select the missing number from the given series.
1, 8, 27, 64, ?

A

126

B

125

C

141

D

81

Text Solution

AI Generated Solution

The correct Answer is:
To solve the problem of finding the missing number in the series 1, 8, 27, 64, ?, we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Pattern**: - Look at the given numbers: 1, 8, 27, 64. - These numbers appear to be perfect cubes. 2. **Calculate the Cubes**: - The cube of 1 is \(1^3 = 1\). - The cube of 2 is \(2^3 = 8\). - The cube of 3 is \(3^3 = 27\). - The cube of 4 is \(4^3 = 64\). 3. **Find the Next Number in the Series**: - Following the pattern, the next number should be the cube of 5. - Calculate \(5^3\): \[ 5^3 = 5 \times 5 \times 5 = 125 \] 4. **Conclusion**: - Therefore, the missing number in the series is 125. ### Final Answer: The missing number is **125**.
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