What is sigma notation?

Now Playing:Sigma notation – Example 1a

Evaluate the following arithmetic series:
1. $\sum_{i=1}^{10}i$
  
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2. $\sum_{i=1}^{5}-3(i+1)$
  
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Write the following sum in sigma notation, then evaluate
$7+9+11+13+...+205$

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Evaluate the following geometric series:
1. $\sum_{i=1}^3 2(\frac{1}{2})^i$
  
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2. $\sum_{i=1}^{20} (-3)^{i+1}$
  
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Write the following sum in sigma notation, then evaluate
$-100+10-1+\frac{1}{10}-\frac{1}{100}$
Use sigma notation to express $S_{10}$ for $-5, 10, -20, 40, ...$ , then evaluate
Evaluate the following infinite geometric series:
1. $\sum_{i=1}^{\infty} 3(-5)^{i-1}$
  
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2. $\sum_{i=1}^{\infty} -\frac{7}{2}(-\frac{2}{3})^i$
  
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Write the following sum in sigma notation, then evaluate
1. $4+2+1+...$
2. $1-2+4-8+...$
  
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