document.write( "Question 883345: The least integer in a list of consecutive odd integers is -35. If the sum is 37 how many integers are in the list \n" ); document.write( "

Algebra.Com's Answer #533455 by josgarithmetic(39620) $\"\"$ $\"About$

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General term of sequence is $\"-35%2B%28n-1%29%2A2=-35%2B2n-2=-37%2B2n\"$ .\r
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\n" ); document.write( "\n" ); document.write( "The sum of some consecutive n terms is 37.
\n" ); document.write( " $\"%28n%2F2%29%28-35%2B%282n-37%29%29=37\"$ , half of n time the sum of first and last terms;
\n" ); document.write( " $\"%28n%2F2%29%282n-72%29=37\"$
\n" ); document.write( " $\"n%28n-36%29=37\"$
\n" ); document.write( " $\"n%5E2-36n=37\"$
\n" ); document.write( " $\"highlight_green%28n%5E2-36n-37=0%29\"$
\n" ); document.write( "Easily factored:
\n" ); document.write( " $\"%28n-37%29%28n%2B1%29=0\"$ \r
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\n" ); document.write( "\n" ); document.write( "The answer having meaning is n=37.\r
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\n" ); document.write( "\n" ); document.write( "CHECK:
\n" ); document.write( " $\"%2837%2F2%29%28-35%2B2%2A37-37%29\"$
\n" ); document.write( " $\"%2837%2F2%29%2874-35-37%29\"$
\n" ); document.write( " $\"%2837%2F2%29%282%29\"$
\n" ); document.write( " $\"37\"$ .
\n" ); document.write( "This works.\r
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\n" ); document.write( "\n" ); document.write( "37 terms of the sequence summed \n" ); document.write( "

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