Question:
Find the wrong number in the series: 2, 10, 30, 68, 130, 232.
Find the wrong number in the series: 2, 10, 30, 68, 130, 232.
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In series problems, always look for a consistent pattern in the terms and verify each term step by step.
Updated On: Dec 13, 2025
- 10
- 30
- 130
- 232
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The Correct Option is D
Solution and Explanation
We are given the series: 2, 10, 30, 68, 130, 232.
Step 1: Analyze the pattern.
We observe the following pattern in the series: - \( 1^3 + 1 = 2 \) - \( 2^3 + 2 = 10 \) - \( 3^3 + 3 = 30 \) - \( 4^3 + 4 = 68 \) - \( 5^3 + 5 = 130 \) For the last term: - \( 6^3 + 6 = 216 + 6 = 222 \), but the number given is 232. Step 2: Conclusion.
The last number, 232, does not fit the pattern and is therefore the wrong number in the series. The correct number should be 222. Final Answer: \[ \boxed{232} \]
We observe the following pattern in the series: - \( 1^3 + 1 = 2 \) - \( 2^3 + 2 = 10 \) - \( 3^3 + 3 = 30 \) - \( 4^3 + 4 = 68 \) - \( 5^3 + 5 = 130 \) For the last term: - \( 6^3 + 6 = 216 + 6 = 222 \), but the number given is 232. Step 2: Conclusion.
The last number, 232, does not fit the pattern and is therefore the wrong number in the series. The correct number should be 222. Final Answer: \[ \boxed{232} \]
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