Answer
Pattern: 4 is added to the previous term.
The next two terms: 18, 22
Work Step by Step
The sequence: . 2, 6, 10, 14, ...
Finding the pattern:
Difference between 1st and 2nd term:
2nd term-1st term=Difference
6-2=4
Difference between 2nd and 3rd term:
3rd term-2nd term=Difference
10-6=4
Difference between 3rd and 4th term:
4th term-3rd term=Difference
14-10=4
4 is being added to the previous term each time.
Finding the next two terms:
Fifth term= Fourth term + 4
= 14 + 4
= 18
Sixth term= Fifth term + 4
= 18 + 4
= 22
Therefore the next two terms are 18 and 22.