# What are the values of these sums, where S={1,3,5,7}? NSK a)PSK\sum_{j\in S}jZSK NSK b)PSK\sum_{j\in

What are the values of these sums, where S={1,3,5,7}?
a)$\sum _{j\in S}j$
b)$\sum _{j\in S}{j}^{2}$
c)$\sum _{j\in S}\left(\frac{1}{j}\right)$
d)$\sum _{j\in S}1$
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Step 1
Compute the sum of this expression by subsitituting the values from the set S and adding the together.
PART A:
$\sum \left(j\right)j\in S=1+3+5+7=16$
Step 2
Compute the sum of this expression by subsitituting the values from the set S and adding the together.
PART B:
$\sum \left({j}^{2}\right)j\in S={1}^{2}+{3}^{2}+{5}^{2}+{7}^{2}=84$
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Step 3
Compute the sum of this expression by subsitituting the values from the set S and adding the together.
PART C:
$\sum _{j\in S}\left(\frac{1}{j}\right)=\frac{1}{1}+\frac{1}{3}+\frac{1}{5}+\frac{1}{7}=\frac{176}{105}$
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