Identifying the Number Sequence Pattern

The given sequence of numbers is: 7, 11, 13, 17, 19, __ \(7, 11, 13, 17, 19, \dots\).

To solve this problem and find the missing term, we need to identify the pattern or rule that connects the numbers in this series.

Let's examine the numbers given: 7, 11, 13, 17, and 19.

Recognizing the Prime Number Series Pattern

Upon examining the numbers, it becomes clear that they are all prime numbers.

A prime number is a whole number greater than 1 whose only factors are 1 and itself. For example, 2, 3, 5, 7 are prime numbers.

Let's list the first few prime numbers in ascending order:

• 2
• 3
• 5
• 7
• 11
• 13
• 17
• 19
• 23
• 29
• etc.

The sequence of prime numbers starts like this: \(2, 3, 5, 7, 11, 13, 17, 19, 23, 29, \dots\)

Finding the Next Number in the Series

Comparing the given sequence (7, 11, 13, 17, 19) with the list of prime numbers, we observe that the sequence consists of consecutive prime numbers starting from 7.

The last number in the provided series is 19.

To find the next number in this Number Sequence Pattern, we need to find the prime number that comes immediately after 19 in the list of prime numbers.

Looking at our list, the prime number following 19 is 23.

Therefore, the next number that fits the Number Sequence Pattern is 23.

This exercise in identifying number patterns falls under logical reasoning. Recognizing the series as a sequence of prime numbers is key to solving it correctly and finding the next number through logical reasoning.

The Number Sequence Pattern is based on consecutive prime numbers starting from 7.