## Sequences and Patterns Exercise

1. Find the next two numbers in each of the following sequences:

a. 1, 3, 5, 7, ...
b. 4, 6, 8, 10,...
c. 2, 5, 8, 11, ...
d. 25, 23, 21, 19...
e. 8, 3, -2, -7,...

2. Find the next two shapes in each of the following patterns:

a.

b.

c.

3. Find the next two numbers in each of the following sequences:

a. 2, 4, 8, 16,...
b.1, 3, 7, 15...
c. 4, 7, 13, 25,..
d. 1, 4, 9, 16...
e. 3, 6, 11, 18, ...

4. The diagram shows a sequence of squares

a. Draw the next two shapes.

b. Copy and complete the following table:

 1 2 4 4 7 10

5.The diagram show a sequence of three sets of tiles.

a. Complete the sequence for the number of yellow tiles       1, 4 , __ , __ , __

b. Give the sequence for the number of pink tiles in five sets of tiles.

c. If there were 36 yellow tiles how many pink tiles would there be?

6. Some sequences have little to do with mathematical patterns . See if you can find the next 2 terms for each of the following:

a. M, T, W, T, ...
b. o, t, t, f, ...
c. 31, 28, 31...
d. 1, 1, 2, 3, 5, 8...
e. 3, 5, 7, 11,...