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Mathematics
Mathematics
Problem
Evaluate these arithmetic series: a.
∑
k
=
1
10
(
2
k
+
5
)
\sum_{k=1}^{10} (2k + 5)
∑
k
=
1
10
(
2
k
+
5
)
b.
∑
k
=
1
15
(
k
−
50
)
\sum_{k=1}^{15} (k - 50)
∑
k
=
1
15
(
k
−
50
)
c.
∑
k
=
1
20
(
k
+
3
2
)
\sum_{k=1}^{20} \left(\frac{k + 3}{2}\right)
∑
k
=
1
20
(
2
k
+
3
)
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