Download Arithmetic Sequences

Precalculus
Arithmetic Sequences
Name: _______________________
Find the indicated term of the arithmetic sequence.
1. Find a30 when a1 = 50 and d = -3.
2. Find a204 when a1 = 2 and d = 2.5.
For 3 – 5, a) write an explicit formula, b) write a recursive formula, and c) find a10.
3. 1, 6, 11, 16, . . .
a)
b)
c)
4. 37, 34, 31, 28, . . .
a)
b)
c)
5. 12, 13.5, 15, 16.5, . . .
a)
b)
c)
6. Plot the graph of the sequence in question 5.
7. Which term of the sequence 2, 5, 8, . . . is 92?
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Precalculus
8. Arithmetic means are the terms between two numbers forming an arithmetic sequence. Find
three arithmetic means between 8 and 36. Hint: 8, _____, _____, _____, 36
9. What is a1 if the tenth term of an arithmetic sequence is 39 and the fifteenth term is 59?
10. The first term of a sequence is 3k  2 and the common difference is k  1 . Find the twelfth
term.
11. The top rung of a ladder is 18 inches long. The lengths of the rungs increase
one-half inch uniformly from the top to the bottom. What is the length of the
tenth rung from the top?
The Internal Revenue Service (IRS) assumes an item that can wear out, such as a car or
computer, depreciates by a constant number of dollars per year. A company car,
purchased for $20,000, will depreciate $2000 per year.
12. Identify: a1 = __________
d = __________
13. Write the explicit and recursive formulas for the value of the car in n years.
Value of Car
14. Plot the value of the car for years 1 – 5.
Years
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