Question:
Find the missing term in the series:
\[ 3,\ 7,\ 13,\ 19,\ 29,\ 37,\ \underline{\hspace{1cm}} \]
Find the missing term in the series:
\[ 3,\ 7,\ 13,\ 19,\ 29,\ 37,\ \underline{\hspace{1cm}} \]
Show Hint
Whenever every term appears to be prime, check whether the series is taking consecutive primes, alternate primes, or primes satisfying a particular property.
Updated On: Jun 13, 2026
- 41
- 43
- 45
- 47
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Concept:
The sequence consists of prime numbers arranged in increasing order.
Step 1: Identify the terms. \[ 3,\ 7,\ 13,\ 19,\ 29,\ 37 \] All are prime numbers.
Step 2: Continue the prime sequence. The prime numbers after \(37\) are \[ 41,\ 43,\ 47,\ldots \] Examining the pattern more carefully, the given series selects alternate prime numbers: \[ 3,\ 7,\ 13,\ 19,\ 29,\ 37,\ 43. \] Therefore the next term is \[ \boxed{43}. \]
Step 1: Identify the terms. \[ 3,\ 7,\ 13,\ 19,\ 29,\ 37 \] All are prime numbers.
Step 2: Continue the prime sequence. The prime numbers after \(37\) are \[ 41,\ 43,\ 47,\ldots \] Examining the pattern more carefully, the given series selects alternate prime numbers: \[ 3,\ 7,\ 13,\ 19,\ 29,\ 37,\ 43. \] Therefore the next term is \[ \boxed{43}. \]
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