document.write( "Question 1087933: the sum of three consecutive integers is one third the square of the middle number. find the integers \n" ); document.write( "

Algebra.Com's Answer #702227 by josgarithmetic(39626) $\"\"$ $\"About$

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n, the first of the three consecutive integers\r
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\n" ); document.write( "\n" ); document.write( " $\"n%2B%28n%2B1%29%2B%28n%2B2%29=%281%2F3%29%28n%2B1%29%5E2\"$ \r
\n" ); document.write( "\n" ); document.write( "-\r
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\n" ); document.write( "\n" ); document.write( " $\"3n%2B3=%281%2F3%29%28n%5E2%2B2n%2B1%29\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"9n%2B9=n%5E2%2B2n%2B1\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"n%5E2-7n-8=0\"$ \r
\n" ); document.write( "\n" ); document.write( " $\"%28n%2B1%29%28n-8%29=0\"$ \r
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\n" ); document.write( "\n" ); document.write( "the numbers
\n" ); document.write( " $\"system%28n=8%2Cn%2B1=9%2Cn%2B2=10%29\"$ \r
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document.write( "The numbers,  -1, 0, 1  also work.\r\n" );
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