Things from Ch. 4

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Things from Ch. 4

Theorem 4.1.1 $\sum_{k=m}^n a_k + \sum_{k=m}^n b_k = \sum_{k=m}^n (a_k+b_k)$

Theorem 4.1.1 $c \cdot \sum_{k=m}^n a_k = \sum_{k=m}^n (c \cdot a_k)$

Theorem 4.1.1 $\prod_{k=m}^n a_k \cdot \prod_{k=m}^n b_k = \prod_{k=m}^n (a_k \cdot b_k)$

Theorem 4.2.2 $\sum_{i=1}^m i = \frac{m(m+1)}{2}$

Theorem 4.2.3 $\sum_{i=0}^n r^i = \frac{r^{n+1} - 1}{r - 1}$

Chang Hu 2006-05-14

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Theorem 4.1.1	$\sum_{k=m}^n a_k + \sum_{k=m}^n b_k = \sum_{k=m}^n (a_k+b_k)$
Theorem 4.1.1	$c \cdot \sum_{k=m}^n a_k = \sum_{k=m}^n (c \cdot a_k)$
Theorem 4.1.1	$\prod_{k=m}^n a_k \cdot \prod_{k=m}^n b_k = \prod_{k=m}^n (a_k \cdot b_k)$
Theorem 4.2.2	$\sum_{i=1}^m i = \frac{m(m+1)}{2}$
Theorem 4.2.3	$\sum_{i=0}^n r^i = \frac{r^{n+1} - 1}{r - 1}$