document.write( "Question 549757: Give an example of a sequence {an} satisfying that:
\n" ); document.write( "{an} is monotonic,
\n" ); document.write( "0\n" ); document.write( "lim(n tends to infinity)an = 1/2 \n" ); document.write( "

Algebra.Com's Answer #358021 by KMST(5328) $\"\"$ $\"About$

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$\"a%5Bn%5D=n%2F%282n%2B1%29\"$ <--> $\"a%5Bn%5D=1%2F2-1%2F2%282n%2B1%29\"$ with $\"a%5B1%5D=1%2F3\"$ and increasing
\n" ); document.write( " $\"a%5Bn%5D=%28n%2B1%29%2F%282n%2B1%29\"$ <--> $\"a%5Bn%5D=1%2F2%2B1%2F2%282n%2B1%29\"$ with $\"a%5B1%5D=2%2F3\"$ and decreasing
\n" ); document.write( " $\"a%5Bn%5D=1%2F2%2B%281%2F2%29%5E%28n%2B1%29%29\"$ with $\"a%5B1%5D=1%2F2%2B1%2F4=3%2F4\"$ if you want it to converge faster \n" ); document.write( "

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