document.write( "Question 1032955: Alec and Beau race to compute 1 + 2 + 3 + ••• + n. Alec skips two numbers and gets a sum of 92. Beau double-counts two numbers and gets a sum of 145. What is the value of n? \n" ); document.write( "
Algebra.Com's Answer #647583 by rothauserc(4718)\"\" \"About 
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The sum of n consecutive integers is given by the following formula
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\n" ); document.write( "Sn = n(n+1) / 2
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\n" ); document.write( "therefore
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\n" ); document.write( "92 < n(n+1) / 2 < 145
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\n" ); document.write( "184 < n(n+1) < 290
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\n" ); document.write( "there are two pairs of integers that satisfy this inequality
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\n" ); document.write( "(14, 15) and (15, 16)
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\n" ); document.write( "n is 14 or 15
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