document.write( "Question 1035421: Hi,
\n" ); document.write( "I'm doing my homework and can't find the answer to the following question. Could you help? Thanks!
\n" ); document.write( "\"Find a pattern in the sequence below. Then write the next three numbers in the sequence. 1,1,1,3,5,9...\" \n" ); document.write( "
Algebra.Com's Answer #650089 by Edwin McCravy(20055)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "1,1,1,3,5,9...\r\n" );
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document.write( "This reminds us of the Fibonacci sequence.\r\n" );
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document.write( "1,1,2,3,5,8,13,...\r\n" );
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document.write( "Rule for the Fibonacci sequence:  Start with two 1's.\r\n" );
document.write( "Get the 3rd term and every other term by adding the \r\n" );
document.write( "two preceding terms.\r\n" );
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document.write( "So go one step further:\r\n" );
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document.write( "Rule for the this sequence:  Start with three 1's.\r\n" );
document.write( "Get the 4th term and every other term by adding the\r\n" );
document.write( "three preceding terms.\r\n" );
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document.write( "1,1,1,3,5,9...\r\n" );
document.write( "1+1+1=3\r\n" );
document.write( "  1+1+3=5\r\n" );
document.write( "    1+3+5=9\r\n" );
document.write( "      3+5+9=?\r\n" );
document.write( "        5+9+?=?\r\n" );
document.write( "          9+?+?=?\r\n" );
document.write( "            ?+?+?=?\r\n" );
document.write( "               etc. \r\n" );
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document.write( "Put numbers where those question marks are.\r\n" );
document.write( "You extend that pattern as far as you like.\r\n" );
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document.write( "Edwin
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