1. ## Sequence and Series

Hey i just joined here.
am stuck on this question:

A sequence A(n) is defined by A(n)= (n+4)/2n
a.)Prove that the sequence is bounded below by 1/2

2. ## Re: Sequence and Series

Hey i just joined here.
am stuck on this question:

A sequence A(n) is defined by A(n)= (n+4)/2n
a.)Prove that the sequence is bounded below by 1/2
You can prove this by induction.
$\displaystyle A(1)=\frac{1+4}{2\cdot 1}=\frac{5}{2}$

3. ## Re: Sequence and Series

Hey i just joined here.
am stuck on this question:

A sequence A(n) is defined by A(n)= (n+4)/2n
a.)Prove that the sequence is bounded below by 1/2
A(n)==(n+4)/2n = (1/2)+2/n

4. ## Re: Sequence and Series

Could you explain...

5. ## Re: Sequence and Series

n is a positive integer so !/2 + 4/n is always greater than 1/2 but increasing n makes it closer and closer to 1/2

6. ## Re: Sequence and Series

n is a positive integer so 1/2+2/n is always greater than 1/2 but gets closer and closer to 1/2 as n increases

7. ## Re: Sequence and Series

hey thanks man-got it