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WorksheetsFCHS Unit 3
Total questions: 11
Worksheet time: 29mins
Name
Class
Date
1.
Identify the common difference.
97, 86, 75, 64, ...
97, 86, 75, 64, ...
a)
8
b)
11
c)
-11
d)
-8
2.
What is the explicit form of the sequence below?
5, -3, -11, -19
5, -3, -11, -19
a)
An=-8n+5
b)
An=8n-5
c)
An=-8n+13
d)
An=n-8
3.
What is the explicit formula that represents this sequence:
2, 8, 14, ...
2, 8, 14, ...
a)
an = 2(6)n-1
b)
an = 2 + 6(n-1)
c)
an = an-1 + 6
a1 = 2
a1 = 2
d)
an = 6*a(n-1)
a1 = 2
a1 = 2
4.
Write the recursive formula for 6, 17, 28, 39, 50....
a)
an=an-1+11
b)
an=an-1-4
c)
an=an-1+9
d)
an=an-1+6
5.
What are the first 4 terms of an arithmetic sequence with a common difference of (-6) if the first term is 76?
a)
76, 70, 64, 58
b)
76, 82, 88, 94
c)
70, 64, 58, 52
d)
82, 88, 94, 100
6.
Given the following sequence, write a formula to determine the nth term.
-16, -11, -6, -1, 4
-16, -11, -6, -1, 4
a)
an = 5(n - 1) -16
b)
an = -5(n - 1) +16
c)
an = -16(n - 1) -5
d)
an = 16(n - 1) -4
7.
Given the following sequence, write a formula to determine the nth term.
12, 23, 34, 45, 56
12, 23, 34, 45, 56
a)
an = 5(n - 1) -56
b)
an = -5(n - 1) -12
c)
an = 11(n - 1) +12
d)
an = 11(n) + 12
8.
A boa constrictor is 18 inches long at birth and grows 8 inches per year. Write an equation to represent this situation
a)
y = 8x + 18
b)
y = 18x + 8
c)
18x + 8y
d)
8x + 18y
9.
At a school play, children’s tickets cost $3 each and adult tickets cost $7 each. The total amount of money earned from ticket sales equals $210. Write a linear model that relates the number of children’s tickets sold to the number of adult tickets sold. Let x = the number of children’s tickets sold and y = the number of adult tickets sold
a)
y=10x+210
b)
7x+3y=210
c)
y=7x+210
d)
3x+7y=210
10.
Write an expression to represent the total number of legs on h horses and c chickens. How many legs are there in 5 horses and 6 chickens?
a)
4h+2c; 32 legs
b)
2h+4c; 22 legs
c)
c+h; 11 legs
d)
unknown
11.
Eight bacteria are in a dish. Each hour the number of bacteria increases by four. If at the end of the first hour there are 12 bacteria, how many bacteria are there at the end of the next three hours?
a)
8, 12, 16
b)
4, 8, 12
c)
16, 20, 24
d)
Cannot be determined
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