Answer
Pattern: -6 is added to the previous term.
The next two terms: -14, -20
Work Step by Step
The sequence: 10, 4, -2, -8, ...
Finding the pattern:
Difference between 1st and 2nd term:
2nd term-1st term=Difference
4-10=-6
Difference between 2nd and 3rd term:
3rd term-2nd term=Difference
-2-4=-6
Difference between 3rd and 4th term:
4th term-3rd term=Difference
-8-(-2)=-6
-6 is being added to the previous term each time.
Finding the next two terms:
Fifth term= Fourth term - 6
= -8-6
= -14
Sixth term= Fifth term - 6
= -14-6
= -20
Therefore the next two terms are -14 and -20
