Question

Find the pattern for each sequence and then use the pattern to show the next two terms.

1. 45, 40, 35, 30, 25, ...
2. -3, 6, -12, 24, -48, ...

Answer 1

1.an=45+(n-1)-5

2.Gn=-3r^n-1

Explanation:

Check for answer 1

Take n=2 a2=45+(2-1)-5=40

Take n=3 n3=45+(3-1)-5=35

Check for answer 2

Take n=2 G2=-3×-2^1=6

Take n=3 G3=-3×-2^2=12

Answer 2

1. The pattern for this would be -5
45-5=40, 40-5=35, etc.

2. The pattern for this would be [times -2]
-3*-2=6, 6*-2=-12, etc.

Hope this helped :)