Use the technique given in Exercise 35. together with the

Chapter 1, Problem 38E

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QUESTION:

Use the technique given in Exercise 35, together with the result of Exercise 37b, to derive the formula for \(\sum_{k=1}^{n} k^{2}\) given in Table 2. [Hint: Take \(a_{k}=k^{3}\) in the telescoping sum in Exercise 35.]

Equation Transcription:

Text Transcription:

sum_k=1^n k^2  

a_k= k^3

Questions & Answers

QUESTION:

Use the technique given in Exercise 35, together with the result of Exercise 37b, to derive the formula for \(\sum_{k=1}^{n} k^{2}\) given in Table 2. [Hint: Take \(a_{k}=k^{3}\) in the telescoping sum in Exercise 35.]

Equation Transcription:

Text Transcription:

sum_k=1^n k^2  

a_k= k^3

ANSWER:

Solution:

Step 1

In this problem we need to derive the formula for .

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