🚧 Fin 5.1

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tomit4 2026-06-16 17:56:24 -07:00
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1. The notation $\sum_{k = m}^{n}{a_k}$ is read "_____."
The summation from $k$ equals $m$ to $n$ of $a$ sub $k$.
2. The expanded form of $\sum_{k = m}^{n}{a_k}$ is _____.
$$ a_m + a_{m + 1} + a_{m + 2} + \dots + a_n $$
3. The value of $a_1 + a_2 + a_3 + \dots + a_n$ when $n = 2$ is "_____."
$$ a_1 + a_2 $$
4. The notation $\prod_{k = m}^{n}{a_k}$ is read "_____."
The product from $k$ equals $m$ to $n$ of $a$ sub $k$.
5. If $n$ is a positive integer, then $n! =$ _____.
$$ n \cdot (n - 1) \dots \cdot 3 \cdot 2 \cdot 1 $$
6. $\sum_{k = m}^{n}{a_k} + c\sum_{k = m}^{n}{b_k} =$ _____.
$$ \sum_{k = m}^{n}{a_k + cb_k} $$
7. $\left(\prod_{k = m}^{n}{a_k}\right)\left(\prod_{k = m}^{n}{b_k}\right) =$
_____.
$$ \prod_{k = m}^{n}{a_kb_k} $$