पुढील शृंखला पूर्ण करणारी संख्या कोणती ?
7, 26, 124, ?, 1330

The correct answer is Option B (342).

Key Points:
• Cube Pattern Number Series:
• Analyze each term using cubes of integers n³ ± 1:
• 1st term (n=2): 2³ - 1 = 8 - 1 = 7
• 2nd term (n=3): 3³ - 1 = 27 - 1 = 26
• 3rd term (n=5): 5³ - 1 = 125 - 1 = 124
• 4th term (n=7): 7³ - 1 = 343 - 1 = 342
• 5th term (n=11): 11³ - 1 = 1331 - 1 = 1330
• Notice that the base numbers n are consecutive prime numbers: 2, 3, 5, 7, 11.
• Therefore, for prime 7, the missing number is 7³ - 1 = 343 - 1 = 342.
• Key Takeaway: Formula is p³ - 1 for consecutive primes 2, 3, 5, 7, 11; for prime 7, 7³ - 1 = 342.