(Pre - AP)Arithmetic Sequences Review

Below are different sequences of numbers. Which ones are considered arithmetic, and what is the correct reason?

• 1, 2, and 4 — because each has the same difference between consecutive terms.
• 1 and 3 — because both increase in a predictable way.
• 2 and 4 — because they both decrease at a constant rate.
• 1, 2, and 3 — because all three follow a rule for generating terms.

Consider the sequence: 4,9,14,19,… Classify the sequence as arithmetic or geometric, and identify its common difference or ratio.

• Arithmetic sequence with d = 4
• Arithmetic sequence with d = 5
• Geometric sequence with r = 1/5
• Geometric sequence with r = 5

An arithmetic sequence is given by: −33,−24,−15,−6,… What are the next three terms in the sequence?

• -1, 7, 15
• 3, 12, 21
• -5, 2, 9
• -65, -73, -81

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

• 63, 72, 81
• 79, 88, 97
• 61, 70, 79
• 70, 79, 88

What is the 9th term of the sequence (5x+9)?

• 63
• 72
• 45
• 54

Identify the 21st term of the sequence (185 – 3n).

• 122
• 125
• 119
• 128

Solve for the 8th term of the sequence: 4n – (2n – 1).

• 11
• 6
• 18
• 17

Find the first five terms of the sequence given the rule below.

• 2, 5, 8, 11, 14
• 2, 3, 4, 5, 6
• 2, 6, 10, 14, 18
• 2, 4, 6, 8, 10

The function below describes an arithmetic sequence, where A(n) is the nth term and n is the term number. A(n) = 6 + 3(n - 1) Which table best fits the sequence?

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• 
• 
• 

If the first term of an arithmetic sequence is 3 and the common difference is 4, what is the 10th term?

• 39
• 40
• 43
• 47