document.write( "Question 888598: In a sequence, each term after the second is the sum of the two preceding terms. The first and fifth terms are each 3. What is the second term in the sequence? \n" ); document.write( "

Algebra.Com's Answer #537519 by Edwin McCravy(20055) $\"\"$ $\"About$

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In a sequence, each term after the second is the sum of the two preceding terms. The first and fifth terms are each 3. What is the second term in the sequence
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document.write( "1st term = 3\r\n" );
document.write( "2nd term = a\r\n" );
document.write( "3rd term = 1st term + 2nd term = 3+a\r\n" );
document.write( "4th term = 2nd term + 3rd term = a+(3+a) = a+3+a = 2a+3\r\n" );
document.write( "5th term = 3rd term + 4th term = (3+a)+(2a+3) = 3+a+2a+3 = 3a+6, given = 3\r\n" );
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document.write( "So we have equation 3a+6 = 3\r\n" );
document.write( "                      3a = -3\r\n" );
document.write( "                       a = -1 \r\n" );
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document.write( "1st term = 3\r\n" );
document.write( "2nd term = a = -1\r\n" );
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document.write( "Edwin

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