What are the values of these sums, where S = {1, 3, 5, 7}

Chapter 1, Problem 30E

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QUESTION:

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) \(\sum_{j \in S}(1 / j)\)

d) \(\sum_{j \in S} 1\)

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QUESTION:

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) \(\sum_{j \in S}(1 / j)\)

d) \(\sum_{j \in S} 1\)

ANSWER:

Step 1 of 4

The objective is to find the value of \(\sum_{j \varepsilon s} j\)

\(=\sum_{j \varepsilon s} j\), here j represents the value of the sum of all the member of set s = {1,3,5,7}

So, \(=\sum_{j \in 1,3,5,7}=1+3+5+7=16\)

Therefore, the value of \(\sum_{j \varepsilon s} j=16\)

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