document.write( "Question 1085009: 
I need the answer for question (i) and (ii) both of them please:\r\n" );
document.write( "\r\n" );
document.write( "(2) Let {an} and {bn} for n = 1,2,3,... .\r\n" );
document.write( "\r\n" );
document.write( "(i) The sequence {an} satisfies the following relation:\r\n" );
document.write( "\r\n" );
document.write( "                     \"1%2Fa%5Bn%2B1%5D-1%2Fa%5Bn%5D=2\".\r\n" );
document.write( "\r\n" );
document.write( "Express the general term an in terms of n when a1 = \"1%2F6\"\r\n" );
document.write( "\r\n" );
document.write( "(ii) The general term of {bn} is given by\r\n" );
document.write( "\r\n" );
document.write( "                     \"b%5Bn%5D=sqrt%281%2Bn%5E2%29-n\"\r\n" );
document.write( "                     \r\n" );
document.write( "                     Prove that \"b%5Bn%5D%3E=b%5Bn%2B1%5D\"
\n" ); document.write( "
Algebra.Com's Answer #699039 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "(2) Let {an} and {bn} for n = 1,2,3,... .\r\n" );
document.write( "\r\n" );
document.write( "(i) The sequence {an} satisfies the following relation:\r\n" );
document.write( "\r\n" );
document.write( "                     .\r\n" );
document.write( "\r\n" );
document.write( "Express the general term an in terms of n when a1 = \"1%2F6\"\r\n" );
document.write( "\r\n" );
document.write( "Write down the the equation substituting n=1,2,3,4,...,n-1,n\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Now add the equations and all the terms on the left cancel\r\n" );
document.write( "except the first and last\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "So the sum of the left sides is the two terms that did not cancel,\r\n" );
document.write( "and since there are n equations, the sum of the right sides is 2n. \r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Since \"a%5B1%5D=1%2F6\", \r\n" );
document.write( "\r\n" );
document.write( "\"matrix%281%2C5%2C1%5B%22%22%5D%2Fa%5Bn%2B1%5D%2C%22%22%2C%22%22=%22%22%2C%22%22%2C2n%2B6%29\"\r\n" );
document.write( "\r\n" );
document.write( "Take reciprocals of both sides:\r\n" );
document.write( "\r\n" );
document.write( "\"matrix%281%2C5%2Ca%5Bn%2B1%5D%2C%22%22%2C%22%22=%22%22%2C%22%22%2C1%2F%282n%2B6%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "Let n = m-1\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "\"matrix%281%2C5%2Ca%5Bm-1%2B1%5D%2C%22%22%2C%22%22=%22%22%2C%22%22%2C1%2F%282m-2%2B6%29%29\"\r\n" );
document.write( "\"matrix%281%2C5%2Ca%5Bm%5D%2C%22%22%2C%22%22=%22%22%2C%22%22%2C1%2F%282m%2B4%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "Let m = n\r\n" );
document.write( "\r\n" );
document.write( "\"matrix%281%2C5%2Ca%5Bn%5D%2C%22%22%2C%22%22=%22%22%2C%22%22%2C1%2F%282n%2B4%29%29\"\r\n" );
document.write( "\r\n" );
document.write( "-----------------------------------------------------\r\n" );
document.write( "Edwin
\n" ); document.write( "
\n" );