Arithmetic Sequences Problem Solving

Find the common difference of the arithmetic sequence -19, -14, -9, ...

What is a formula for the nth term in the sequence 12, 20, 28, ...?

What is a formula for the nth term in the sequence -4, -9, -14, ...?

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 next three terms in the arithmetic sequence: 25, 34, 43, 52, ...

• 63, 72, 81

• 79, 88, 97

• 70, 79, 88

• 61, 70, 79

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)

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)