Arithmetic Sequence Rule

Select the explicit rule that represents the sequence.

• a_n = 14(-3)(n - 1)

• a_n = 3 + (n - 1)(14)

• a_n = 14 + (n - 1)(-3)

• a_n = -3 + (n - 1)(14)

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 22nd term of the following sequence: 5, 8, 11, ... (Hint: Write the explicit rule first, then use it to solve)

• 14

• 68

• 63

• 71

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

Create the explicit formula for the sequence:

2, 8, 14, ...

• y=2+6x

• y=-6+6x

• y=6x-4

• y=4-6x

Determine the common difference for the arithmetic sequence
-5, 12, 29, 46, ...

• 7

• 17

• -7

• -17

Determine the common difference for the arithmetic sequence
9, 16, 23, 30, ...

• 7

• 17

• -7

• -17

Find the next three terms for the arithmetic sequence
12, 7, 2, -3, ...

• 8, 13, 18

• -8, -13, -18

• -7, -11, -15

• 7, 11, 15

Find the next three terms for the arithmetic sequence
19, 31, 43, 55, ...

• 66, 77, 88

• 65, 74, 83

• 67, 79, 91

• 63, 71, 79

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