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Kenneth Rosen Edition 7 Exercise 2.4 Question 29 (Page No. 169)

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Kenneth Rosen Edition 7 Exercise 2.4 Question 41 (Page No. 169)
Find a formula for $\displaystyle{}\sum_{k=0}^{m}\left \lfloor \sqrt{k} \right \rfloor ,$ when $m$ is a positive integer.
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Kenneth Rosen Edition 7 Exercise 2.4 Question 39 (Page No. 169)
Find $\displaystyle{}\sum_{k=100}^{200}k. \text{(Use Table 2.)}$
Find $\displaystyle{}\sum_{k=100}^{200}k. \text{(Use Table 2.)}$
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admin asked Apr 21, 2020
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Kenneth Rosen Edition 7 Exercise 2.4 Question 38 (Page No. 169)
Use the technique given in question $35,$ together with the result of question $37b,$ to derive the formula for $\displaystyle{}\sum_{k=1}^{n}k^{2}$ given in Table $2.\:\:[$Hint: Take $a_{k} = k^{3}$ in the telescoping sum in question $35.]$
Use the technique given in question $35,$ together with the result of question $37b,$ to derive the formula for $\displaystyle{}\sum_{k=1}^{n}k^{2}$ given in Table $2.\:\...
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