Pattern Arithmetic and Geometric Sequence

Identify the common difference of the sequence below:

• -1.2

• 1.3

• 1.2

• -1.3

Identify the next three terms of the sequence below:

• -17, -21, -25

• 17, 21, 25

• 18, 22, 26

• -18, -22, -26

Each individual number in a sequence of numbers is called what?

• Common difference

• Successive term

• Term

• Geometric term

An ______________sequence is a sequence of numbers in which the difference between any two consecutive terms is a constant. 

• Geometric Sequence

• Arithmetic Sequence

A _____________sequence is a sequence of numbers in which the ratio between any two consecutive terms is a constant. 

• Geometric Sequence

• Arithmentic Sequence

3, 9, 15, 22, ...

Is this sequence arithmetic, geometric, or neither?

• arithmetic (common difference d = 6)

• geometric (common ratio r = 4)

• neither (no common difference OR common ratio) neither (no common difference OR common ratio)

Carey is organizing her books and putting them on shelves. She put 2 books on the first shelf, 8 books on the second shelf, 32 books on the third shelf, and 128 books on the fourth shelf. What kind of sequence is this?

• Geometric

• Arithmetic

• Both

• Neither

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)

• a_n=2+6n

• a_n=-6+6n

• a_n=6n-4

• a_n=4-6n

Find the 22nd term of the following sequence:
5, 8, 11, ...

• 14

• 68

• 63

• 71

Find the first term of the given sequence:
a₁₄=68
d=3

• 14

• 20

• 26

• 29