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Mathematics
Mathematics
Problem
- Show that: a.
∑
k
=
1
n
c
=
c
n
\sum_{k=1}^{n} c = cn
∑
k
=
1
n
c
=
c
n
b.
∑
k
=
1
n
c
a
k
=
c
∑
k
=
1
n
a
k
\sum_{k=1}^{n} ca_k = c \sum_{k=1}^{n} a_k
∑
k
=
1
n
c
a
k
=
c
∑
k
=
1
n
a
k
c.
∑
k
=
1
n
(
a
k
+
b
k
)
=
∑
k
=
1
n
a
k
+
∑
k
=
1
n
b
k
\sum_{k=1}^{n} (a_k + b_k) = \sum_{k=1}^{n} a_k + \sum_{k=1}^{n} b_k
∑
k
=
1
n
(
a
k
+
b
k
)
=
∑
k
=
1
n
a
k
+
∑
k
=
1
n
b
k
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