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:
f (n) = 3n + 2
f (n) = 2n + 3
f (n) = 2n - 3 f (n) = 3n - 2

b)
Which recursive formula generates this sequence?

Choose:
f (1) = 5;    f (n) = f (n + 1) + 2
f (1) = 5;    f (n) = f (n - 1) + 4
f (1) = 5;    f (n) = f (n + 1) + 4
f (1) = 5;    f (n) = f (n - 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:
f (n) = 80• (¼)n-1
f (n) = 80• (¾)n-1
f (n) = 80 + (¼)(n - 1) f (n) = 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:
f (n) = 26400 - 3050(n - 1)
 
f (n) = 26400 + 3050(n - 1)
 
f (n) = 26400 - 3050(n + 1)  
f (n) = 26400 + 3050(n + 1)  

 

 

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

Choose:
er7aa
er7cc
er7b
er7d

b)
Which recursive formula generates this sequence?

Choose:
f (1) = 1;    f (n) =rad3f (n + 1)
f (1) = 1;    f (n) = rad3f (n - 1)
f (1) = 1;    f (n) = f (n + 1) +rad3
f (1) = 1;    f (n) = f (n - 1) +rad3

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

Choose:
6
9
pracfunc12a
pracfunc12b
erface3

 

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