MathDB
Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
2023 AMC 12/AHSME
12
cube cube cube cube cube
cube cube cube cube cube
Source: 2023 AMC 12A #12
November 9, 2023
AMC
AMC 12
2023 AMC
2023 AMC 12A
pattern
Problem Statement
What is the value of
2
3
−
1
2
+
4
3
−
3
3
+
6
3
−
5
3
+
⋯
+
1
8
3
−
1
7
3
?
2^3 - 1^2 + 4^3 - 3^3 + 6^3 - 5^3 + \dots + 18^3 - 17^3?
2
3
−
1
2
+
4
3
−
3
3
+
6
3
−
5
3
+
⋯
+
1
8
3
−
1
7
3
?
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
a
n
>
2023
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
a
n
>
2679
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
a
n
>
2941
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
a
n
>
3159
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
a
n
>
3235
<span class='latex-bold'>(A) </span> 2023 \qquad<span class='latex-bold'>(B) </span> 2679 \qquad<span class='latex-bold'>(C) </span> 2941 \qquad<span class='latex-bold'>(D) </span> 3159 \qquad<span class='latex-bold'>(E) </span> 3235
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
an
>
2023
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
an
>
2679
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
an
>
2941
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
an
>
3159
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
an
>
3235
Back to Problems
View on AoPS