1.
What is true of the second differences for the equation
x
2
– 6
x
+ 12?
A.
they decrease by 1
B.
they increase by 1
C.
they increase by 12
D.
they are constant
Hint
2.
What type of relationship does the equation have if its first differences are constant?
A.
cubic
B.
quadratic
C.
constant
D.
linear
Hint
3.
What type of relationship does the equation have if its second differences are constant?
A.
cubic
B.
linear
C.
constant
D.
quadratic
Hint
4.
What is the relationship between constant second differences and the coefficient of the equation?
A.
the second difference is the same as the coefficient
B.
the second difference is opposite the coefficient
C.
the second difference is 2 times the coefficient
D.
the second difference is –2 times the coefficient
Hint
5.
Find the values for
m
and
n
which the conjecture (
m – n
)
2
=
m
2
– n
2
is false.
A.
m
= 1,
n
= 0
B.
m
= 1,
n
= 2
C.
m
= –2,
n
= 0
D.
m
= 1,
n
= 1
Hint