Practice Page
Directions: Read carefully.

1.
Given a1= 5 and an= an - 1 + 4, find the explicit formula.

Choose:
an = n + 4
an = 4n + 1
an = 4n - 1
an = 4n + 4
erface1

 

 

2.
Given an= 3n - 2, find the 19th term. 

Choose:
20
36
55
59
erface4

 

 

3.
Given the sequence: {5, 7, 9, 11, ...}

a) Which explicit formula generates this sequence?
Choose:
an = 3n + 2
an = 2n + 3
an = 2n - 3 an = 3n - 2

b)
Which recursive formula generates this sequence?

Choose:
a1 = 5;   an =  an + 1 + 2
a1 = 5;   an =  an - 1 + 4
a1 = 5;   an =  an + 1 + 4
a1 = 5;   an =  an - 1 + 2

c)
What is the 11th term of the sequence?

Choose:
21
23
25
27
erface2

 

 

4.
There are 80 fish in a Koi pond. Each year the population decreases by 25%. Which explicit formula generates a sequence of fish in the pond each year?

Choose:
an = 80• (¼)n - 1
 an = 80• (¾)n - 1
an = 80 + (¼)(n - 1)  an = 80 + (¾)(n - 1)
erface5

 

 

5.
The first four terms of a sequence are:
8, 24, 72, 216, ...
Write a recursive function for this sequence.

Choose:
a1= 8 and an= an - 1 + 3n
 
a1= 8 and an= an -13n
 
a1= 8 and an= an - 13  
a1= 8 and an= an -1 + 3  
erface7

 

 

6.
A private school purchases $26,400 of new computer equipment. For tax purposes, the school estimates that the equipment decreases in value by the same amount, $3050, each year. Which explicit function can be used to find the estimated value of the computer equipment?
erface6

Choose:
 an = 26400 - 3050(n - 1)
 
 an = 26400 + 3050(n - 1)
 
 an = 26400 - 3050(n + 1)  
 an = 26400 + 3050(n + 1)  
 

 

 

7.
Given the sequence:   pracfunc12
a)
Which explicit formula generates this sequence?

Choose:

b)
Which recursive formula generates this sequence?

Choose:
a1 = 1;   an =rad3•  an + 1
a1 = 1;   an = rad3•  an - 1
a1 = 1;   an =  an + 1 +rad3
a1 = 1;   an =  an - 1 +rad3

c)
What is the 5th term of the sequence?

Choose:
6
9
pracfunc12a
pracfunc12b
erface3

 

divider

NOTE: The re-posting of materials (in part or whole) from this site to the Internet is copyright violation
and is not considered "fair use" for educators. Please read the "Terms of Use".