Solution Found!
Use the technique given in Exercise 35. together with the
Chapter 1, Problem 38E(choose chapter or problem)
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 .