(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Determine whether the sequences are increasing, decreasing, or not monotonic.

1) an= [tex]\frac{\sqrt{n+2}}{4n+2}[/tex]

2) an=[tex]\frac{1}{4n+2}[/tex]

3) an=[tex]\frac{cosn}{2^{n}}[/tex]

4) an=[tex]\frac{n-2}{n+2}[/tex]

2. Relevant equations

3. The attempt at a solution

I thought that the number 1 and 2 were decreasing because [tex]a_{n}[/tex] [tex]\geq[/tex] [tex]a_{n+1}[/tex] in both cases

#3 is increasing because [tex]a_{n}[/tex][tex]\leq[/tex] [tex]a_{n+1}[/tex]

#4 is monotonic because if n=3 then its 0

for number #1 I compared it to [tex]a_{n+1}[/tex]=[tex]\frac{\sqrt{n+3}}{4n+6}[/tex]

and i found that it was smaller than an so it was decreasing

i did this procedure for the rest of them and i still get the wrong answer

can someone please help me.

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# Homework Help: Determine whether the sequences are increasing

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