document.write( "Question 1104290: A sequence is defined recursively by the given forumlas. Find the first 5 terms.\r
\n" ); document.write( "\n" ); document.write( "an= (1)/(1+a(n-1) and a1=1\r
\n" ); document.write( "\n" ); document.write( "I am just not understanding recursive sequences. \n" ); document.write( "

Algebra.Com's Answer #719103 by ikleyn(52788) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "1.  You are just given  that   = 1.\r\n" );
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document.write( "2.  Use the given formula to calculate  .\r\n" );
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document.write( "    You have  n= 2,  n-1= (2-1) = 1;  therefore, the formula takes the form\r\n" );
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document.write( "     =  =  = .    (I substituted  = 1).\r\n" );
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document.write( "3.  Now, when you know , you can calculate  , using the given formula.\r\n" );
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document.write( "    You have  n= 3,  n-1= (3-1) = 2;  therefore, the formula takes the form\r\n" );
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document.write( "     =  =  =  =  = .    (I substituted  = ).\r\n" );
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document.write( "4.  Now, when you know , you can calculate  , using the given formula.\r\n" );
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document.write( "    You have  n= 4,  n-1= (4-1) = 3;  . . . and you can continue from this point on your own,  using the same logic . . . \r\n" );
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\n" ); document.write( "\n" ); document.write( "It is how the recursive formulas work: if you know all preceding terms, you can calculate the next term, using the given recursive formula.\r
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\n" ); document.write( "If you still have questions or need more explanation, let me know by posting your message through the \"Thank you\" window.\r
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\n" ); document.write( "\n" ); document.write( "If you do, do not forget to refer to the problem's ID number, which is 1104290.\r
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\n" ); document.write( "\n" ); document.write( "My help is for free; I do it for fun.\r
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