Mastering Arithmetic Progressions

What is the common difference in the sequence 3, 7, 11, 15?

• 6

• 5

• 3

• 4

Find the 10th term of the arithmetic sequence where the first term is 5 and the common difference is 2.

• 19

• 23

• 25

• 21

Graph the arithmetic sequence defined by the first term 4 and a common difference of 3. What does the graph look like?

• The graph is a curve with a peak at (2, 7).

• The graph is a straight line with a slope of 1, starting at the point (1, 1).

• The graph is a straight line with a slope of 3, starting at the point (1, 4).

• The graph is a horizontal line at y = 4.

Determine if the sequence 2, 4, 8, 16 is an arithmetic sequence. Explain your reasoning.

• The sequence is increasing

• It has a common difference

• Yes

• No

If the nth term of an arithmetic sequence is given by the formula 3n + 2, what is the common difference?

• 2

• 4

• 5

• 3