Arithmetic and Geometric Sequences

Is the sequence arithmetic, geometric, or neither:

17, 9, 1, -7, ...

• Arithmetic

• Geometric

• Neither

Create the explicit formula for the sequence:

2, 8, 14, ...

• a_n = 2 + 6n

• a_n = -6 + 6n

• a_n = 6n - 4

• a_n = 4 - 6n

Is the sequence -4, -12, -36, -108,... arithmetic, geometric, or neither?

• arithmetic

• geometric

• neither

If an arithmetic sequence is graphed, which of the following will best model the shape of the graph?

• Linear

• Exponential

• Quadratic

If a geometric sequence is graphed, which of the following will best model the shape of the graph?

• Linear

• Exponential

• Quadratic

A grocer is creating a display of cans. There are 40 cans on the 1st (bottom) row, 38 cans on the 2nd row, 36 cans on the 3rd row, and so on. How many cans will be on the 15th row?

• 32 cans

• 10 cans

• 12 cans

• 68 cans

a₄ = 3 and a₁₀ = -39

Find the common difference of the arithmetic sequence.

• -6

• -7

• -8

• -9

a₃ = 225 and a₅ = 5625

Find the common ratio of the geometric sequence.

• 3

• 4

• 5

• 25

Is the sequence arithmetic: 78, 785, 7855, 78555, ...

• Yes

• No

When the terms of a sequence differ by the same non zero  number it is called what kind of sequence?

• Algebraic

• Neither

• Geometric

• Arithmetic