Question:
Find the next number in series: 0, 7, 26, 63, 124, 215, ? ,511
Find the next number in series: 0, 7, 26, 63, 124, 215, ? ,511
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Whenever numbers grow rapidly, check cube and higher-power patterns.
Updated On: Jun 15, 2026
- 345
- 344
- 343
- 342
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Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Concept:
The terms follow the pattern \(n^3-1\).
Step 1: Verify the pattern. \[ 1^3-1=0 \] \[ 2^3-1=7 \] \[ 3^3-1=26 \] \[ 4^3-1=63 \] \[ 5^3-1=124 \] \[ 6^3-1=215 \]
Step 2: Find the next term. \[ 7^3-1=343-1=342 \] Thus, the next number is \[ \boxed{342} \]
Step 1: Verify the pattern. \[ 1^3-1=0 \] \[ 2^3-1=7 \] \[ 3^3-1=26 \] \[ 4^3-1=63 \] \[ 5^3-1=124 \] \[ 6^3-1=215 \]
Step 2: Find the next term. \[ 7^3-1=343-1=342 \] Thus, the next number is \[ \boxed{342} \]
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