Name
4-7
Class
Date
Practice Modified
Form G
Sequences and Functions
For each problem a) find the next two terms of the sequence b) write the
recursive (an) equation and c) write the explicit (y=mx + b) equation.
1. 3, 6, 12, 24, …
2. 9, 15, 21, 27, …
3.
1.5, 2.25, 3, 3.75, …
4. 9.9, 8.8, 7.7, 6.6, …
5. 1.5, 4.5, 13.5, 40.5, …
6.
40, 20, 10, 5, …
Tell whether the sequence is arithmetic. If it is, identify the common difference.
7.
4, 8, 12, 16, …
10. 12, 23, 34, 45, …
8.
–11, 5, 0, 6, …
11. 2, 4, 7, 9, …
9.
4, 8, 16, 32, …
12. 1, 3, 9, 27, …
13. You have a gift card for a coffee shop worth $90. Each day you use the card to get
a coffee for $4.10. Find the first 5 values of the arithmetic sequence and write the
explicit equation to represent the amount of money left on the card as an
arithmetic sequence. What is the value of the card after buying 8 coffees?
14. You start a savings account with $200 and save $30 each month. Find the first 5
values of the arithmetic sequence and write the explicit equation to represent the
amount of money you invest into your savings account as an arithmetic sequence.
How much money will you have invested after 12 months?
15. Little Miss Muffet is given a starting salary of 35,000 for working in the Muffet
Dairy Factory to get rid of spiders. Each year she receives a $1,200 raise. Write
the first 5 values in the arithmetic sequence and find the explicit equation. How
much will Miss Muffet receive after 8 years?
16. Each swing of a pendulum is 3 inches shorter than the preceding swing. The
first swing is 8 feet. Write the first 5 values in the arithmetic sequence and find
the explicit equation. Find the length of the twelfth swing?
17. Make your own story problem and solve it.