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Sequences as Functions:
Practice with Explicit Sequences
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Practice Page
Directions: Read carefully. This page uses functional notation for the sequences.
1.
Which of the following function formulas describes this sequence?
               {4, 8, 16, 32, 64, ...}

 Choose:
f (n) = n + 4
f (n) = 4n
f (n) = 2n
f (n) = 2n+1
josh1

 

 

2.
The following diagrams form a sequence based upon the number of toothpicks needed to create the shapes.
                TOOTHPICKS
a) Which numerical list represents this sequence?
 Choose:
{8, 16, 24, ...}
{8, 15, 22, ...}
{10, 20, 30, ...}
{10, 19, 28, ...}

b) How many toothpicks are needed to create the 6th diagram in the sequence?
 Choose:
43
48
55
60

 

 

3.
Which sequence is generated by f (n)= 4n - 3 ?

Choose:
{1, 4, 7, 10, 13, ...}
{0, 1, 5, 9, 13, ...}
{1, 5, 9, 13, 17, ...}
{0, 1, 4, 7, 10, ...}
josh2

 

 

4.
The sequence shown below is an arithmetic sequence. What is the value of the missing term?
               {6, 9, box, 15, 18, ...}

Choose:
10
11
12
14
josh3

 

 

5.
Which of the following sequences can be generated using    ?

Choose:
funcprac5b
pracfunc5c
pracfunc5a
pracfunc5d
josh4

 

 

6.
Which of the following sequences is a geometric sequence? josh5

Choose:
{2, 4, 6, 8, 10, ...}
{2, 4, 7, 11, 16, ...}
{2, 4, 8, 16, 32, ...}
{2, 8, 14, 20, 26, ...}

 

 

7.
What is the common difference in this arithmetic sequence?
               {16, 10, 4, -2, -8, ...}
  
josh6
Choose:
4
-4
6
-6

 

 

8.
What are the first three terms of this sequence?
               f (n)= n2 + 1

Choose:
0, 2, 5
1, 2, 3
2, 5, 10
4, 9 16
josh7

 

 

9.
What is the tenth term of this sequence?
               f (n)= (-1)n-1• n2

Choose:
10
-10
100
-100
josh8

 

 

10.
Find the fourth term of this geometric sequence.
               {459, 153, 51, ...}

Choose:
17
-17
25.5 -25.5
josh9

 

 

11.
What are the first four terms of this sequence?
                  f (n) = 4n - 6

Choose:
{-2, 2, 6, 10}
{-2, 0, 2, 4}
{-2, -8, -32, -128}
{-2, 2, 4, 6}
 
josh10

 

 

12.
Which function "rule" is at work in the function machine shown at the right?

Choose:

f (n) = n + 4
f (n) = 2n + 3
f (n) = 3n + 2
f (n) = 4n - 1
functionmachinebrown

 

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