Arithmetic Sequences

What is the common difference in the arithmetic sequence: -4x, -x, 2x, 5x, 8x, ...?

A recovering heart attack patient is told to get on a regular walking program. The patient is told to walk a distance of 5 km the first week, 8 km the second week, 11 km the third week and so on for a period of 10 weeks.

a. 4b. Is the sequence in 4a. arithmetic or geometric? Explain your reasoning.

b. How far will the patient walk during the 10th week?

A house worth $350,000 when purchased was worth $335,000 after the first year and $320,000 after the second year.

Is this an arithmetic or geometric sequence? Explain your reasoning.

If the economy does not pick up and this trend continues, what will be the value of the house after 6 years.

What are the first three terms of the sequence defined by the following equation? a_n = 7 + 5(n - 1)

Find the missing terms of the arithmetic sequence:

145, ___, ___, ___, 205

Allen is on the football team this year but he has poor time management skills. His mother told him that he is off the team if he fails (< 60) anything in school. On his first math quiz he earned a 90, then he earned an 86 and an 82 on his next two quizzes.

a. If his grades continue at this rate, what will his quiz grade be after the 8th quiz?

b. Will he still be on the team?

c. What position does he play?

Find the values of a in the following arithmetic sequence

1, 6, a, 16, 21

Find the nth term of the following sequence

7, 9, 11, 13, 15

Find the nth term of the following sequence

5, 11, 17, 23, 29

• n + 6

• n - 1

• 6n - 1

• 6n + 1

Find the nth term of the following sequence

-1, 4, 9, 14, 19