2.3 Mathematical Analysis of No -Exercises 2.3 1. Compute the following sums. a. 1+3+5+7+•·.+999 b. 2+4+8+ 16 + · . . + 1024 c. 1 f. Ej=1 n+1 i=3 d Σi 1-1 Li=3 e. Σ6 +1) 3i+1 Σ- Σ-1ij h. Σ_1 1/i6 +1) %3D1 2. Find the order of growth of the following sums. Use the O the simplest function g(n) possible.
2.3 Mathematical Analysis of No -Exercises 2.3 1. Compute the following sums. a. 1+3+5+7+•·.+999 b. 2+4+8+ 16 + · . . + 1024 c. 1 f. Ej=1 n+1 i=3 d Σi 1-1 Li=3 e. Σ6 +1) 3i+1 Σ- Σ-1ij h. Σ_1 1/i6 +1) %3D1 2. Find the order of growth of the following sums. Use the O the simplest function g(n) possible.
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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#1 f & g only
![2.3 Mathematical Analysis of Nonrecursive Algorithms
Exercises 2,3
1. Compute the following sums.
a. 1+3+5+7+· ..+
+ 999
b. 2+4+8+ 16+.
·..+ 1024
d. E i
n+1
%3D3
c. +11
n-1
i (i +1)
j+1
f.
j=1
g Σ-Σ-1ij h. Σ 1/i( +1)
%3D1
j3D1
%3D1
2. Find the order of growth of the following sums. Use the O(g
the simplest function g(n) possible.
n-1(;211)2
b n-1 la i2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F26fe8f9d-a829-4ffe-94fa-74d9058056a0%2Fa5575a44-9b20-48d3-84f4-ab0c895f8273%2Fw6j5uk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:2.3 Mathematical Analysis of Nonrecursive Algorithms
Exercises 2,3
1. Compute the following sums.
a. 1+3+5+7+· ..+
+ 999
b. 2+4+8+ 16+.
·..+ 1024
d. E i
n+1
%3D3
c. +11
n-1
i (i +1)
j+1
f.
j=1
g Σ-Σ-1ij h. Σ 1/i( +1)
%3D1
j3D1
%3D1
2. Find the order of growth of the following sums. Use the O(g
the simplest function g(n) possible.
n-1(;211)2
b n-1 la i2
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