MathDB
Problems
Contests
National and Regional Contests
USA Contests
MAA AMC
AMC 12/AHSME
1997 AMC 12/AHSME
20
20
Part of
1997 AMC 12/AHSME
Problems
(1)
Sum of 100 Consecutive Integers
Source:
1/18/2009
Which one of the following integers can be expressed as the sum of
100
100
100
consecutive positive integers?
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
A
)
<
/
s
p
a
n
>
1
,
627
,
384
,
950
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
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>
(
B
)
<
/
s
p
a
n
>
2
,
345
,
678
,
910
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
a
n
>
3
,
579
,
111
,
300
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
a
n
>
4
,
692
,
581
,
470
<
s
p
a
n
c
l
a
s
s
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
a
n
>
5
,
815
,
937
,
260
<span class='latex-bold'>(A)</span>\ 1,\!627,\!384,\!950\qquad <span class='latex-bold'>(B)</span>\ 2,\!345,\!678,\!910\qquad <span class='latex-bold'>(C)</span>\ 3,\!579,\!111,\!300\qquad <span class='latex-bold'>(D)</span>\ 4,\!692,\!581,\!470\qquad <span class='latex-bold'>(E)</span>\ 5,\!815,\!937,\!260
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
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d
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>
(
A
)
<
/
s
p
an
>
1
,
627
,
384
,
950
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
B
)
<
/
s
p
an
>
2
,
345
,
678
,
910
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
C
)
<
/
s
p
an
>
3
,
579
,
111
,
300
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
D
)
<
/
s
p
an
>
4
,
692
,
581
,
470
<
s
p
an
c
l
a
ss
=
′
l
a
t
e
x
−
b
o
l
d
′
>
(
E
)
<
/
s
p
an
>
5
,
815
,
937
,
260
arithmetic sequence