Property 7
Product Notation
\(\prod\) is pi (product notation).
\(\prod_{k=r}^{n}f(k)=f(r)f(r+1)\cdots f(n)\)
\(k\in\{r,r+1,\ldots,n\}\)
1.
\(\prod_{k=3}^{5}(2k)=?\)
2.
\(\prod_{k=2}^{4}3=?\)
3.
\(\prod_{k=4}^{6}k=?\)
4.
\(\prod_{k=1}^{10}(-1)=?\)
5.
\(\prod_{k=1}^{4}k^2=?\)
6.
\(\prod_{k=3}^{5}(k+2)=?\)
7.
\(\prod_{k=-2}^{-1}k^4=?\)
Property 8
\(\prod_{k=1}^{n}k=1\cdot2\cdots n=n!\)
\(\prod_{k=r}^{n}k=r(r+1)\cdots n=\samefrac{n!}{(r-1)!}\)
1.
\(\prod_{k=1}^{10}k=?\)
2.
\(\prod_{k=2}^{20}k=?\)
3.
\(\prod_{k=7}^{30}k=?\)
4.
\(\prod_{k=10}^{25}k=?\)
5.
\(\prod_{k=7}^{13}k=?\)
6.
\(\prod_{k=-3}^{7}k=?\)