Express the following sums using sigma notation. $$ \begin{array}{l} ext { a. } 4+5+6+7+8 \ ext { b. } 6+12+18+24+30+36 \ ext { c. } 1^{7}+2^{7}+3^{7}+4^{7} \ ext { d. } 1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4} \ ext { a. } 4+5+6+7+8=\sum_{k=1}^{5} \square\end{array} $$

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Express the following sums using sigma notation. $$ \begin{array}{l}	ext { a. } 4+5+6+7+8 \ 	ext { b. } 6+12+18+24+30+36 \ 	ext { c. } 1^{7}+2^{7}+3^{7}+4^{7} \ 	ext { d. } 1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4} \ 	ext { a. } 4+5+6+7+8=\sum_{k=1}^{5} \square\end{array} $$

UpStudy AI · Accepted Answer

To express the given sums using sigma notation, we need to identify a general term for each sum. Here are the expressions in sigma notation:

a. $$ 4 + 5 + 6 + 7 + 8 = \sum_{k=0}^{4} (4 + k) $$

b. $$ 6 + 12 + 18 + 24 + 30 + 36 = \sum_{k=1}^{6} 6k $$

c. $$ 1^{7} + 2^{7} + 3^{7} + 4^{7} = \sum_{k=1}^{4} k^{7} $$

d. $$ 1 + \frac{1}{2} + \frac{1}{3} + \frac{1}{4} = \sum_{k=1}^{4} \frac{1}{k} $$

So, the final answers in sigma notation are:

a. $$ \sum_{k=0}^{4} (4 + k) $$

b. $$ \sum_{k=1}^{6} 6k $$

c. $$ \sum_{k=1}^{4} k^{7} $$

d. $$ \sum_{k=1}^{4} \frac{1}{k} $$
a. $$ \sum_{k=0}^{4} (4 + k) $$ b. $$ \sum_{k=1}^{6} 6k $$ c. $$ \sum_{k=1}^{4} k^{7} $$ d. $$ \sum_{k=1}^{4} \frac{1}{k} $$

Express the following sums using sigma notation. \( \begin{array}{l}\text { a. } 4+5+6+7+8 \\ \text { b. } 6+12+18+24+30+36 \\ \text { c. } 1^{7}+2^{7}+3^{7}+4^{7} \\ \text { d. } 1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4} \\ \text { a. } 4+5+6+7+8=\sum_{k=1}^{5} \square\end{array} \)

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