Property 4
\(m\in\mathbb R\)
\(\sum_{k=r}^{n}m\cdot f(k)=m\sum_{k=r}^{n}f(k)\)
1.
\(\sum_{k=1}^{10}(3k)=?\)
2.
\(\sum_{k=1}^{20}(2k^2)=?\)
3.
\(\sum_{k=1}^{10}(5k^3)=?\)
4.
\(\sum_{k=0}^{5}(2\cdot2^k)=?\)
5.
\(\sum_{k=1}^{10}(5a)=?\)
6.
\(\sum_{k=1}^{8}(2k^2)=?\)
7.
\(\sum_{k=2}^{7}(3k^3)=?\)
Property 5
\(\sum_{k=r}^{n}[f(k)+g(k)]=\sum_{k=r}^{n}f(k)+\sum_{k=r}^{n}g(k)\)
1.
\(\sum_{k=1}^{10}(k^2-k)=?\)
2.
\(\sum_{k=1}^{9}(k+3)=?\)
3.
\(\sum_{k=1}^{12}(k^3-1)=?\)
4.
\(\sum_{k=1}^{13}(3k-2)=?\)
5.
\(\sum_{k=1}^{20}(2k+7)=?\)
6.
\(\sum_{k=1}^{13}(4k-5)=?\)
7.
\(\sum_{k=1}^{10}(2k^2-k)=?\)