The n-th harmonic is the sum of the reciprocals of the first n natural numbers given by: 1 1 1 1 1 11. = 2 = 1 + + + + + + + H₂ Σ 2 3 4 k=1 n (ii) Give a recurrence relation for the number of divisions the recursive algorithm calculates for an input n & N.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
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Chapter1: Introduction
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The n-th harmonic is the sum of the reciprocals of the first n natural numbers given by:
1
1 1 1
1
H₁₁
=
Σ
k=1
- =1+=+=+
2 3 4
+
+
n
(ii) Give a recurrence relation for the number of divisions the recursive algorithm calculates for an input n & N.
Transcribed Image Text:The n-th harmonic is the sum of the reciprocals of the first n natural numbers given by: 1 1 1 1 1 H₁₁ = Σ k=1 - =1+=+=+ 2 3 4 + + n (ii) Give a recurrence relation for the number of divisions the recursive algorithm calculates for an input n & N.
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