Analysis Let Sn-nΣ Estimate how many terms arek=11√krequired before sn ≥ 100.

We shall be using basic inequalities to solve this problem.

Answered: Let Sn = n Σ k-1 √k Estimate how many…

Math

Advanced Math

Let Sn = n Σ k-1 √k Estimate how many terms are required before sn ≥ 100.

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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Question

100%

Analysis

Let Sn
-
n
Σ Estimate how many terms are
k=1
1
√k
required before sn ≥ 100.

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Step 1: Basic inequalities

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Step 2: Look at s_{n^2}

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Follow-up Questions

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Follow-up Question

Why does it equal 1+(n^2 - 1)/n?

1
1+
+ (-₁/2 + + + + + ··· + ² )
-
n
n
n
=
1+
n² - 1
n

Solution

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