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1. Let f(n) = n²+3 and g(n) = 5n – 11 for n € N. Thu f: N N and g: N→ Z. Calculate (a) f(1) and g(1) (c) f(3) and g(3) (b) f(2) and g(2) (d) f(4) and g(4)

1. Let f(n) = n²+3 and g(n) = 5n – 11 for n € N. Thu f: N N and g: N→ Z. Calculate (a) f(1) and g(1) (c) f(3) and g(3) (b) f(2) and g(2) (d) f(4) and g(4)

Advanced Engineering Mathematics
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. Let f(n) = n² + 3 and g(n) = 5n - 11 for n € N. Thus N and g: N→ Z. Calculate f: N (a) f(1) and g(1) (c) f(3) and g(3) (b) f(2) and g(2) (d) f(4) and g(4) (e) f(5) and g(5) (f) To think about: Is f(n) + g(n) always an even number?
Transcribed Image Text:1. Let f(n) = n² + 3 and g(n) = 5n - 11 for n € N. Thus N and g: N→ Z. Calculate f: N (a) f(1) and g(1) (c) f(3) and g(3) (b) f(2) and g(2) (d) f(4) and g(4) (e) f(5) and g(5) (f) To think about: Is f(n) + g(n) always an even number?
Expert Solution
Step 1

fn=n2+3

gn=5n-11

a) f(1)=12+3=1+3=4

    g(1)= 5.1-11=5-11=-6

(b) f(2)=22+3=4+3=7

    g(1)= 5.2-11=10-11=-1

 

 

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