document.write( "Question 259976: what consecutive numbers if we add we will get 945 \n" ); document.write( "
Algebra.Com's Answer #191417 by Edwin McCravy(20056)\"\" \"About 
You can put this solution on YOUR website!
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document.write( "That depends on how many consecutive integers you \r\n" );
document.write( "want to add to get 945. You forgot to tell us how \r\n" );
document.write( "many integers.  \r\n" );
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document.write( "For instance, is you had told us you wanted 10 consecutive integers\r\n" );
document.write( "which have sum 945, we could have shown you how to find them.  \r\n" );
document.write( "They would be\r\n" );
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document.write( "90+91+92+93+94+95+96+97+98+99 = 945\r\n" );
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document.write( "And, say, if you had told us the you wanted 18, then we'd\r\n" );
document.write( "have said to start at 44\r\n" );
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document.write( "44+45+46+47+48+49+50+51+52+53+54+55+56+57+58+59+60+61=945\r\n" );
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document.write( "And, say, if you had told us the you wanted only 5 or 6, then we'd\r\n" );
document.write( "have said to start at 187 if you wanted 5, and with 155 if you\r\n" );
document.write( "had wanted 6\r\n" );
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document.write( "187+188+189+190+191=945\r\n" );
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document.write( "or with 6\r\n" );
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document.write( "155+156+157+158+159+160=945\r\n" );
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document.write( "or with just 2 consecutive integers, as the other tutor\r\n" );
document.write( "assumed, it would be:\r\n" );
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document.write( "472+473=945.\r\n" );
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document.write( "We'd have use the equation\r\n" );
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document.write( "\"+S%5Bn%5D=+%28n++%28+2a%5B1%5D%2B%28n-1%29d+%29+%29%2F2++\"\r\n" );
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document.write( "Suppose I had wanted to find five consecutive integers\r\n" );
document.write( "whose sum is 945:\r\n" );
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document.write( "187+188+189+190+191=945\r\n" );
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document.write( "but didn't know I was supposed to start at 187.  Here's\r\n" );
document.write( "how I'd know to start at 187:  I'd substitute \"n=5\"\r\n" );
document.write( "\"S%5B5%5D=945\"\r\n" );
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document.write( "and \"n=5\" and \"d=1\" because the difference between\r\n" );
document.write( "any two consecutive integers is 1.\r\n" );
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document.write( "\"S%5Bn%5D=n%282a%5B1%5D%2B%28n-1%29d%29%2F2\"\r\n" );
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document.write( "\"S%5B5%5D=5%282a%5B1%5D%2B%285-1%29%281%29%29%2F2\"\r\n" );
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document.write( "\"945=5%282a%5B1%5D%2B4%29%2F2\"\r\n" );
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document.write( "Multiply both sides by 2 to clear of fractions:\r\n" );
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document.write( "\"1890=5%282a%5B1%5D%2B4%29\"\r\n" );
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document.write( "Divide both sides by 5\r\n" );
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document.write( "\"378=2a%5B1%5D%2B4\"\r\n" );
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document.write( "Subtract 4 from both sides\r\n" );
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document.write( "\"374=2a%5B1%5D\"\r\n" );
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document.write( "Then divide both sides by 2, and we'd have\r\n" );
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document.write( "\"187=a%5B1%5D\"\r\n" );
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document.write( "Then we'd have known to start at 187.\r\n" );
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document.write( "Next time you post on here, be sure to give all\r\n" );
document.write( "the information and to tell us exactly what you \r\n" );
document.write( "want to find.\r\n" );
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document.write( "Edwin
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