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
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Originally Posted by shadn 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. $\displaystyle A(1)=\frac{1+4}{2\cdot 1}=\frac{5}{2}$
Originally Posted by shadn 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
Could you explain...
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
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
hey thanks man-got it
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