930 Module 7 Lesson 1 Exit Slip
Arithmetic Sequences
Name:______________________ Period:__________
Corriveau
Write a recursive and an explicit rule for the sequences.
1.
2.
n
1
2
3
4
5
f(n)
6
7
8
9
10
Recursive rule:__________________________
Krueger
Vidal
3, 7, 11, 15
Recursive rule:_________________________
Explicit rule:____________________________ Explicit rule:____________________________
3. The graph shows the lengths of the rows formed by various
numbers of grocery carts when they are nested together. Write
a recursive and an explicit rule for the sequence of row
lengths.
Recursive rule:__________________________
Explicit rule:____________________________
4. What two values do you need to know in order to write a recursive rule and an explicit rule for
an arithmetic sequence?
Answers: 1. f(1) = 6, f(n) = f(n-1) + 1, f(n) = n + 5 2. f(1) = 3, f(n) = f(n-1) + 4, f(n) = 4 n + -1
3. f(1) = 38 , f(n) = f(n-1) + 12, f(n) = 12n + 26 4. The first term f(1) and the common difference