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\)
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.
(a)
\(\displaystyle \sum_{k=1}^{5} (k^2 + 2)\)
(b)
\(\displaystyle \sum_{i=3}^{6} (2i-1)\)
(c)
\(3 + 7 + 11 + 15 + \cdots + 27\)
(d)
\(4 + 8 + 16 + 32 + \cdots + 256\)
(e)
\(\displaystyle \sum_{i=1}^{6} \frac{1}{2^i}\)
