Property 9
\(\prod_{k=1}^{n}c=c^n\)
\(\prod_{k=r}^{n}c=c^{n-r+1}\)
1.
\(\prod_{k=1}^{10}2=?\)
2.
\(\prod_{k=2}^{17}3=?\)
3.
\(\prod_{k=0}^{20}7=?\)
4.
\(\prod_{k=10}^{32}2=?\)
5.
\(\prod_{k=6}^{27}5=?\)
6.
\(\prod_{k=9}^{18}1=?\)
7.
\(\prod_{k=15}^{41}(-1)=?\)
Property 10
\(\prod_{k=r}^{n}[f(k)g(k)]=\left(\prod_{k=r}^{n}f(k)\right)\left(\prod_{k=r}^{n}g(k)\right)\)
\(\prod_{k=r}^{n}\samefrac{f(k)}{g(k)}=\samefrac{\prod_{k=r}^{n}f(k)}{\prod_{k=r}^{n}g(k)},\ g(k)\ne0\)
\(\prod_{k=1}^{n}c f(k)=c^n\prod_{k=1}^{n}f(k)\)
\(\prod_{k=r}^{n}c f(k)=c^{n-r+1}\prod_{k=r}^{n}f(k)\)
1.
\(\prod_{k=1}^{10}(k^2+k)=?\)
2.
\(\prod_{k=1}^{10}(2k)=?\)
3.
\(\prod_{k=3}^{12}(3k)=?\)
4.
\(\prod_{k=1}^{20}\left(\samefrac{k+2}{k+1}\right)=?\)