Hard Number Patterns High School Math Sequences

Complete the definition of a Pattern

• a list of diagrams and objects

• a list of objects, numbers or diagrams that follow a logical structure

• Numbers in order

• Numbers that follow a rule

Is this sequence

2,4,7,11,16,22,...

• a quadratic sequence

• a geometric sequence

• an arithmetic sequence

What is the missing term in the following geometric sequence 4, ____, 64, 256

• 8

• 2

• 32

• 16

What is the common difference in the sequence 14, 9, 4, -1, -6.....

• 4

• 6

• -5

• 5

• -4

What is the second difference in the following quadratic sequence -3, 8, 23, 42, 65...

• 11

• 2

• 4

• -4

• 15

The common ratio r stands for the...

• first difference

• second difference

• the number that is multiplies by in a geometric sequence

Based on the given pattern, how many circles would come next?

The next number in the sequence 6, 11, 16, 21, 25, . . . is 31.

• TRUE

• FALSE

Find the first three terms of the sequence.

a_n= 7(n + 2)

• 21, 28, 35

• 7, 9, 11

• 9, 16, 23

• 16, 23, 30

Determine the 3rd term of the sequence.

a₁=5

a_n= 2a_n-1 - 1

• 14

• 13

• 17

• 16