what's the pattern for
2,3,__, 7, 11, 13, 17
2012 wow
To find the missing number in the pattern, let's analyze the given sequence:
2, 3, __, 7, 11, 13, 17
Looking at the differences between consecutive terms might help us identify a pattern. Let's calculate the differences:
3 - 2 = 1
__ - 3 = __ - 1 = ?
7 - __ = 7 - __ = ?
11 - 7 = 4
13 - 11 = 2
17 - 13 = 4
Analyzing the differences, we can see that the sequence is not following a simple arithmetic or geometric pattern. However, there might be another type of pattern at play.
Another approach to finding the pattern is to consider the prime numbers. Looking at the sequence, we can observe that each number except the first one (2) is a prime number. The prime numbers in the given sequence are:
2, 3, 7, 11, 13, and 17
Therefore, the missing number in the sequence is the next prime number after 17. The next prime number is 19.
Hence, the completed sequence is:
2, 3, 19, 7, 11, 13, 17
Prime numbers sequensce.
A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.
2 , 3 , 5 , 7 , 11 , 13 , 17