2 , 3 ,5,7,11,13, what’s the pattern and the next 5 numbers

Mathematics · Middle School · Tue Nov 03 2020

Answered on

Given:

2 ,3 ,5,7,11,13

Determine the pattern and the next 5 numbers.

Solution:

We can observe that going from the first term to the 2nd term, 1 is added,  2nd term to 3rd term, 2 is added, and same goes with 3rd term to 4th term. For the 4th term to 5th term we add 3, then go back again by adding 2 for the 5th term and 6th term. For the next terms, we'll follow the sequence of the pattern, add 4, then add 2, then add 5, then add 2 and lastly add 6.

13 + 4 = 17
17 + 2 = 19
19 + 5 = 24
24 + 2 = 26
26 + 6 = 32

Final answer:

The next 5 terms are: 17, 19, 24, 26 and 32