Sigma notation

Lessons

• 1.
  Evaluate the following arithmetic series:
  
  a)

  $\sum_{i=1}^{10}i$
  
  
  b)

  $\sum_{i=1}^{5}-3(i+1)$
  
  

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• 2.
  Write the following sum in sigma notation, then evaluate
  $7+9+11+13+...+205$
  

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• 3.
  Evaluate the following geometric series:
  
  a)

  $\sum_{i=1}^3 2(\frac{1}{2})^i$
  
  
  b)

  $\sum_{i=1}^{20} (-3)^{i+1}$
  
  

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• 4.
  Write the following sum in sigma notation, then evaluate
  $-100+10-1+\frac{1}{10}-\frac{1}{100}$

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• 5.
  Use sigma notation to express $S_{10}$ for $-5, 10, -20, 40, ...$, then evaluate
  

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• 6.
  Evaluate the following infinite geometric series:
  
  a)

  $\sum_{i=1}^{\infty} 3(-5)^{i-1}$
  
  
  b)

  $\sum_{i=1}^{\infty} -\frac{7}{2}(-\frac{2}{3})^i$
  
  

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• 7.
  Write the following sum in sigma notation, then evaluate
  
  a)

  $4+2+1+...$
  
  
  b)

  $1-2+4-8+...$
  
  

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