1.
Write a rule that describes how to create each term of the sequence below.
A.
Add the same number as the term number to the right side to create another 2 squares.
B.
Add 6 toothpicks to the right side to create another 2 squares.
C.
Add 3 toothpicks to the right side to create another 2 squares.
D.
Add 6 toothpicks to the right side to create another square.
Hint
2.
The following explanation of a rule is for a toothpick sequence. Find the correct rule if
n
is used to represent the term number and
t
to represent the number of toothpicks.
A.
t
= 2
n
+ (
n
– 1)
B.
t
= 2
n
– 1
C.
t
= 1 + 2
n
D.
t
= 2 + (
n
– 1)
Hint
3.
Jaime found a rule for this dot sequence to be
d
= 3 + 2(
n
– 1), where
n
is used to represent the term number and
d
to represent the number of dots. Find an equivalent rule.
A.
d
= 3 – (2
n
+ 1)
B.
d
= 3 – 2(
n
– 1)
C.
d
= 1 – 2
n
D.
d
= 2
n
+ 1
Hint
4.
Carolyn found a rule for a toothpick sequence to be
t
= 3
n
– 2, where
n
is used to represent the term number and
t
to represent the number of toothpicks. Find an equivalent rule.
A.
t
= 6 + (3
n
– 3)
B.
t
= 7 + 3(
n
– 3)
C.
t
= 7 + (3
n
– 2)
D.
t
= 6 + 3(
n
– 3)
Hint
5.
One group of students created a table of inputs and outputs from the
What's My Rule?
game. Find the corresponding rule.
A.
y
=
x
2 – 1
B.
y
= 1 +
x
·
x
C.
y
= 2
x
+ 6
D.
y
=
Hint