Arithmetic Sequence Model

Write a recursive formula for the sequence 8, 10, 12, 14, 16, ... Then find the next term.

• a_n = a_n-1 - 2; a₁ = 2; Next term is -2

• a_n = a_n-1 + 2; a₁ = 18; Next term is 8

• a_n = a_n-1 + 2; a₁ = 8; Next term is 18

• a_n = a_n-1 - 2; a₁ = 8; Next term is 18

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

• Linear

• Exponential

• Quadratic

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

• 14

• 68

• 63

• 71

What is the 15th term of the sequence an = -3n+50

• 95

• -5

• 5

• -95

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

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

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

• -1, 7, 15

• -5, 2, 9

• 3, 12, 21

• -65, -73, -81

Find the common difference: -34, -29, -24, -19, ...

• d = -5

• d = 5

• d = -6

• d = 6