Sequences Arithmetic or Geometric

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

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

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

Which kind of sequence has a common difference?

• Arithmetic

• Geometric

This is an arithmetic sequence. 5, 2, –1, –4, . . .

What is a_{7 (7th term)} ?

• -13

• -11

• -18

• -22