document.write( "Question 1152187: A quadratic pattern has a second term equal to -1,a third equal to -6 and a fifth term equal to -14.Calculate the second difference of this quadratic pattern.
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Algebra.Com's Answer #774158 by MathTherapy(10552) $\"\"$ $\"About$

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A quadratic pattern has a second term equal to -1,a third equal to -6 and a fifth term equal to -14.Calculate the second difference of this quadratic pattern.
\n" ); document.write( "Hence,or otherwise ,calculate the first term of the pattern.
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This person makes these problems so, so, COMPLEX and more time-consuming than is necessary.\r\n" );
document.write( "After substituting each term into the quadratic pattern formula: , you should get the following system of equations:\r\n" );
document.write( " 4A + 2B + C = - 1 ------ eq (i)\r\n" );
document.write( " 9A + 3B + C = - 6 -------eq (ii)\r\n" );
document.write( "25A + 5B + C = - 14 ----- eq (iii)\r\n" );
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document.write( "5A + B = - 5 ------- Subtracting eq (i) from eq (ii) ----- eq (iv)\r\n" );
document.write( "16A + 2B = - 8 ----- Subtracting eq (ii) from eq (iii) --- eq (v)\r\n" );
document.write( "- 10A - 2B = 10 ---- Multiplying eq (iv) by  -  2 ----- eq (vi)\r\n" );
document.write( "6A = 2 ----- Adding eqs (v) & (vi)\r\n" );
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document.write( " ----- Substituting  for A in eq (iv)\r\n" );
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document.write( " --- Substituting  for A, and  for B in eq (i)\r\n" );
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document.write( "- 12 + C = - 1 \r\n" );
document.write( "C = - 1 + 12\r\n" );
document.write( "C = 11\r\n" );
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document.write( "    \r\n" );
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document.write( "Although not needed, if you're curious, the quadratic sequence,  becomes:

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