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Mathematics
Problem
Explain, in one sentence, why
∑
k
=
1
n
(
a
k
+
b
k
)
\displaystyle\sum_{k=1}^{n}(a_k + b_k)
k
=
1
∑
n
(
a
k
+
b
k
)
equals
∑
k
=
1
n
a
k
+
∑
k
=
1
n
b
k
\displaystyle\sum_{k=1}^{n}a_k + \sum_{k=1}^{n}b_k
k
=
1
∑
n
a
k
+
k
=
1
∑
n
b
k
.
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