Arithmetic Sequences Explicit and Recursive and Linear Equations

Select the explicit rule that represents the sequence.

• 6 + 5(n - 1)

• 4 + 6(n - 1)

• 6 - 4(n - 1)

Find the given term for the sequence.

Find a₆₄ for a_n = 5n + 4

• 9

• 324

• 320

• 12

Select the explicit rule that represents the sequence.

• 14(-3)(n - 1)

• 3 + 14(n - 1)

• 14 - 3(n - 1)

• -3 + 14(n - 1)

Write a recursive rule for the sequence 17, 1, -15, -31 . . .

• a_n = a_n-1 + 16, a₁ = 17

• a_n = a_n-1 - 17, a₁ = 16

• a_n = a_n-1 - 15, a₁ = 1

• a_n = a_n-1 - 16, a₁ = 17

Write the recursive rule for the arithmetic sequence
82, 76, 70, 64, ...

• a₁=82; a_n = a_n-1-6

• a₁=64; a_n = a_n-1-6

• a₁=82; a_n = a_n-1+6

• a₁=64; a_n = a_n-1+6

The graph shows a plot of the first three terms of the arithmetic sequence. Which linear function models the sequence?

• f(n) = 2n + 3

• f(n + 1) = 3n + 2

• f(n) = 3n + 2

• f(n + 1) = 2n + 3

The first 10 terms of an arithmetic sequence are plotted on the coordinate plane. Which recursive formula corresponds to the Next-Now equation?

• f(n + 1) = f(n) + 9; f(0) = -2

• f(n + 1) = f(n) - 9; f(0) = 2

• f(n + 1) = f(n) + 2; f(0) = -9

• f(n + 1) = f(n) - 2; f(0) = 9

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.

• a_n = 4n + 29

• a_n = -4n + 25

• a_n = -4n + 29

• a_n = 4n + 25

Identify the common difference.
97, 86, 75, 64, ...

• 8

• 11

• -11

• -8

Write the recursive formula for the following sequence?
6, 4, 2, 0, . . .

• a_n = -2n + 8

• a₁ =6, a_n = a_n - 1 - 2

• a₁ = 6, a_n = a_n-1 + 2

• a₁ = 6, a_n = a_n-1 - 2