Activity 4.2.2

For each sum written in sigma notation, write the sum long-hand and evaluate the sum to find its value. For each sum written in expanded form, write the sum in sigma notation.

1. $\displaystyle \sum_{k=1}^{5} (k^2 + 2)$

2. $\displaystyle \sum_{i=3}^{6} (2i-1)$

3. $3 + 7 + 11 + 15 + \cdots + 27$

4. $4 + 8 + 16 + 32 + \cdots + 256$

5. $\displaystyle \sum_{i=1}^{6} \frac{1}{2^i}$