MathDB
Problems
Contests
International Contests
IMO Longlists
1977 IMO Longlists
43
43
Part of
1977 IMO Longlists
Problems
(1)
Evalute the sum S [ILL 1977]
Source:
1/11/2011
Evaluate
S
=
∑
k
=
1
n
k
(
k
+
1
)
…
(
k
+
p
)
,
S=\sum_{k=1}^n k(k+1)\ldots (k+p),
S
=
k
=
1
∑
n
k
(
k
+
1
)
…
(
k
+
p
)
,
where
n
n
n
and
p
p
p
are positive integers.