Application Arithmetic and Geometric Sequences

Find the common ratio: 64, -16, 4, -1, ...

• r = -8

• r = -1/4

• r = -4

• r = 4

What is the explicit rule for the sequence:
11, 22, 44, 88...

• u_n = 2(11)^n-1

• u_n = 11(2)

• u_n = 11(2)^n-1

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

The population of a city is decreasing by 3% every year. If the population is 125,000 in the 1st year, how many will remain in the 10th year?

• 92,178 people

• 95,029 people

• 167,990 people

• 163,096 people

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 this sequence arithmetic, geometric, or neither?
{26, 22, 18, 14, ...}

• Arithmetic

• Geometric

• Neither

Which kind of sequence has a common difference?

• Arithmetic

• Geometric