When comparing these 3 problems, in the answer key for 4 a & b, it says < 0 for n> or equal to 1. Why for number 5 does it say for < 1 instead of less then zero like the previous 2.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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When comparing these 3 problems, in the answer key for 4 a & b, it says < 0 for n> or equal to 1. Why for number 5 does it say for < 1 instead of less then zero like the previous 2. I hope this makes sense the way I worded it . Thank you for all your help ? 

n+1
4n+3
1.
4n
(4n-1)(4n+3)
<0 for n 2 1, so strictly decreasing.
ant1- 0, = (+1-2*) – (n – 2" ) =
1-2"<0 for n21, so strictly decreasing.
10"||
5.
Use a a to show that
is strictly increasing or strictly decreasing.
(2n)!
10+1
K12+2
(2)!
10
1 fr 21 so strictly decreasing.
10
Transcribed Image Text:n+1 4n+3 1. 4n (4n-1)(4n+3) <0 for n 2 1, so strictly decreasing. ant1- 0, = (+1-2*) – (n – 2" ) = 1-2"<0 for n21, so strictly decreasing. 10"|| 5. Use a a to show that is strictly increasing or strictly decreasing. (2n)! 10+1 K12+2 (2)! 10 1 fr 21 so strictly decreasing. 10
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