Name___________________________
Period _____________
Date___________
Algebra 1
Unit 3C: Arithmetic Sequences Worksheet #1
Given the arithmetic sequence, find the recursive formula, explicit formula, and the indicated term.
7)
12, 7, 2, -3, . . .
8) 1, 4, 7, 10, . . .
Recursive Formula _______________
Recursive Formula _____________
Explicit Formula ________________
Explicit Formula ______________
20th term ___________
32nd term __________
9) -6, 4, 14, 24, . . .
Recursive Formula _______________
Explicit Formula ________________
15th term _________
10) Write the recursive and explicit formula for an arithmetic sequence where a1 = 2 and d = -4.
a) Recursive: ________________________________
b) Explicit:__________________________________
c) Find a1, a2, a3, a5, a10, and a100
a1
a2
a3
a5
a10
a100
11) The table to the right shows the cost of mailing a letter depending on its weight in ounces.
a) If the rate is constant, what is the cost of mailing a letter that
weighs 6 ounces? 7 ounces? Complete the table.
b) What is the rate of change?
c) Write the formulas:
Recursive: ________________________________
Explicit:__________________________________
Package Weight
Not exceeding (oz)
1
2
3
4
5
6
7
Cost
$0.33
0.55
0.77
0.99
1.21