document.write( "Question 984808: The sum of the consecutive integers from -17 to x is 100. What is x? \n" ); document.write( "

Algebra.Com's Answer #605651 by Alan3354(69443) $\"\"$ $\"About$

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The sum of the consecutive integers from −17 to x is 100. What is x?
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\n" ); document.write( "The sum from -17 to +17 is zero for 35 integers.
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\n" ); document.write( "Now find integers starting at 18 whose sum is 100.
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\n" ); document.write( " $\"18n+%2B+n%28n-1%29%2F2+=+100\"$
\n" ); document.write( " $\"n%5E2+%2B+35n+-+200+=+0\"$
\n" ); document.write( "(n-5)*(n+40) = 0
\n" ); document.write( "n = 5
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\n" ); document.write( "40 integers total \n" ); document.write( "

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