Sequence

Name that Sequence!

2

Is the following sequence Arithmetic, Geometric or Neither? 13, 17, 21, 25, 29, .....

arithmetic

2

Name the sequence: 1/3, 1/8, 1/13, 1/18, 1/22, .....

Harmonic

3

Is the following sequence Arithmetic, Geometric or Neither? 4, 11, 17, 24, 34, ....

neither

4

Is the following sequence Arithmetic, Geometric or Neither? If so, what is the common difference or common ratio? 375, 75, 15, 3, 3/5, ........

geometric

5

Is the following sequence Arithmetic, Geometric or Neither? If so, what is the common difference or common ratio? 506, 403, 300, 197, 94, .....

arithmetic

Vocabulary

2

A sequence in which there is a common difference added to each term to get to the next

Arithmetic Sequence

2

A sequence in which each number is the sum of the two preceding terms.

Fibonacci

3

The common change between the second term and the first term. 

Found by subtracting: a₂-a₁

Common Difference

4

The common change between the second term and the first term. 

Found by dividing: a₂÷a₁

Common Ratio

5

A list of numbers with a specific pattern

Sequence

Arithmetic Sequence

2

What is the common ratio in the sequence  4, 12, 36, 108

3

2

What is the common ratio?

4, 20, 100, 500 ...

5

3

Determine the common ratio when the 2nd term is 12 and the 3rd term is 72.

6

4

What is the value of the 5th term when the first term is 2 and the common ratio is 4.

512

5

What is the value of the 8th term when the 1st term is 3 and the 2nd term is 6

384

Geometric Sequence

2

What is the representation for the common difference  ?

d

2

What is the common difference?

20, 15, 10, 5, ...

-5

3

What is the common difference:

3, 18, 33, 48

15

4

What is the value of the 20th term when the 1st term is 15 and the second term is 20

110

5

What is the sum of the 20th term when the 1st term is 15 and the second term is 20?

1250

Find the missing term(s)

2

Find the 5th term in the sequence. 3, 10, 17

31

2

Find the missing term in the following Arithmetic sequence. -13, ___ ,-27

-20

3

Find the missing terms in the following Arithmetic sequence. 10, 14, ____ , _____, 26

18, 22

4

Find the missing term in the following Geometric sequence. 2, 16, 128, _____, 8192

1024

5

Find the missing terms in the following geometric sequence. 4, 12 , _____, _____, 324

36, 108