Number Sequences

Find a formula for the general term of:

7, 13, 19, 25, 31, ....

• 6n + 1

• 3n - 7

• 7n + 53

• 17 - 3n

Find a formula for the general term of:

-4, -1, 2, 5, 8, ....

• 6n + 1

• 3n - 7

• 7n + 53

• 17 - 3n

Consider the sequence 7, 14, 21, 28, 35, .... Find the 105th term!

• 714

• 721

• 728

• 735

Write down the next two terms of:

47, 38, 30, 23, 17, ....

• 9, 15

• 12, 8

• -33, -32

• 88, 85

Write down the next two terms of:

-6, -5, -3, 0, 4, ....

• 9, 15

• 12, 8

• -33, -32

• 88, 85

Write down the next two terms of:

-5, -7, -11, -19, -35, ....

• -67, -131

• 8, 13

• 144, 196

• -216, 343

Write down the next two terms of:

1, 1, 2, 3, 5, ....

• -67, -131

• 8, 13

• 144, 196

• -216, 343

Write down the next line in the pattern

• 1, 5, 8, 8, 5, 1

• 1, 5, 10, 10, 5, 1

• 1, 6, 15, 15, 6, 1

• 1, 6, 20, 20, 6, 1

a. Find the number of small triangles in the 20th figure!

b. Find the value of n for which the figure has 121 small triangles!

• a. 441

  b. 10

• a. 441

  b. 11

• a. 400

  b. 10

• a. 400

  b. 11