Arithmetic Se

Now, let's go backwards!!! Given the explicit formula, list the first five terms in order. (You can ignore term 0)

• 2, 5, 8, 11, 14, ...

• 3, 1, -1, -3, -5, ...

• 3, 6, 9, 12, 15, ...

• 3, 5, 7, 9, 11, ...

Create the explicit formula for the sequence: 2, 8, 14, ...

(Hint: Use the common difference AND the zero term!.)

• a_n = 6n + 2

• a_n = 6n - 6

• a_n = 6n - 4

• a_n = -6n + 4

TRUE or FALSE?

An arithmetic sequence is an example of a linear function.

• True, because having a common difference also means it has a constant rate of change

• False, because it's not shown on a graph

Find a₂₆ in the arithmetic sequence: -15, -35, -55, -75, ... (Hint: Write the explicit rule first, then use it to solve)

• -515

• -490

• -535

• 460

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ... (Hint: Write the explicit rule first, then use it to solve)

• -216

• -148

• -146

• -150

Find the 22nd term of the following sequence:

5, 8, 11, ...

(Hint: Write the explicit rule first, then use it to solve)

• 14

• 68

• 63

• 71

Select the explicit rule that represents the sequence.

• a_n = 6 + 5(n - 1)

• a_n = 4 + 6(n - 1)

• a_n = 6 - 4(n - 1)

Find the 32nd term of this sequence. 34, 37, 40, 43, ... (Hint: Write the explicit rule first, then use it to solve)

• 32

• 64

• 127

• 356

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

• a_n = 25 + (n-1)4

• a_n = 29 + (n-1)(-4)

• a_n = 25 +(n-1)(-4)

• a_n = 29 +(n-1)(4)

Create the explicit formula for the sequence:

2, 8, 14, ...

• y=2+6x

• y=-6+6x

• y=6x-4

• y=4-6x