Sigma notation

Lessons

1. Evaluate the following arithmetic series:
   
   1. $\sum_{i=1}^{10}i$
   2. $\sum_{i=1}^{5}-3(i+1)$
2. Write the following sum in sigma notation, then evaluate
   $7+9+11+13+...+205$
   
3. Evaluate the following geometric series:
   
   1. $\sum_{i=1}^3 2(\frac{1}{2})^i$
   2. $\sum_{i=1}^{20} (-3)^{i+1}$
4. Write the following sum in sigma notation, then evaluate
   $-100+10-1+\frac{1}{10}-\frac{1}{100}$
5. Use sigma notation to express $S_{10}$ for $-5, 10, -20, 40, ...$, then evaluate
   
6. Evaluate the following infinite geometric series:
   
   1. $\sum_{i=1}^{\infty} 3(-5)^{i-1}$
   2. $\sum_{i=1}^{\infty} -\frac{7}{2}(-\frac{2}{3})^i$
7. Write the following sum in sigma notation, then evaluate
   
   1. $4+2+1+...$
   2. $1-2+4-8+...$