Writing Explicit Rules for Arithmetic Sequences

Identify the common difference. 
10, 20, 30, 40, ...

• 5
• 10
• 15
• 20

Is the sequence arithmetic?

17, 9, 1, -7, ...

• Yes

• No

Identify the next two terms of the sequence:

4,7,10,13,...

• 16 and 19

• 15 and 19

• 16 and 18

• 15 and 18

Find a₂₀ in the arithmetic sequence: (Hint: Find explicit formula first)

5, 12, 19, 26...

• 145

• 144

• 142

• 138

Which sequence is NOT an arithmetic sequence?

• -7, -13, -19, -25,...

• -10, -6, -2, 2,..

• 6, 8, 10, 12,...

• 3, 15, 75, 375,...

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

• -216
• -148
• -146
• -150

Find 26th term in the arithmetic sequence: -15, -35, -55, -75, ...

• -515
• -490
• -535
• 460

Find a₂₀ in the arithmetic sequence: 5, 12, 19, 26...

• 145
• 144
• 142
• 138

A sequence is shown below:

2, 5, 8, 11, ...

Which explicit formula can be used to model the sequence?

• a_n = 3 - 11(n - 1)

• a_n = 2 + 3(n - 1)

• a_n = 11 - 3(n - 1)

• a_n = 3 + 2(n - 1)

Which kind of sequence has a common difference?

• Arithmetic
• Geometric