document.write( "Question 1132599: How many 3 digit positive integers exist that when divided by 3 leave a reminder of 2?
\n" ); document.write( "9
\n" ); document.write( "8
\n" ); document.write( "27
\n" ); document.write( "40
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Algebra.Com's Answer #749693 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "\n" ); document.write( "How many 3 digit positive integers exist that when divided by 3 leave a reminder of 2?\r
\n" ); document.write( "\n" ); document.write( "Least 3 digit number is \"100\".\r
\n" ); document.write( "\n" ); document.write( "Since divisor is \"3\", & remainder \"2\"\r
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\n" ); document.write( "\"3%2A33%2B2=101\"\r
\n" ); document.write( "\n" ); document.write( "next number will be \"3%2A34%2B2=104+\"\r
\n" ); document.write( "\n" ); document.write( "next will be \"3%2A35%2B2=107\"
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\n" ); document.write( "the last \"3\" digit number leaving remainder\"+2\", while dividing by \"3\" is \"998\"\r
\n" ); document.write( "\n" ); document.write( "Sequence : \"101\", \"104\",\"107\",.......,\"998\"
\n" ); document.write( "common difference: \"d=3\"\r
\n" ); document.write( "\n" ); document.write( "use nth term formula:\r
\n" ); document.write( "\n" ); document.write( "\"a%5Bn%5D=a%5B1%5D%2Bd%28n-1%29\"\r
\n" ); document.write( "\n" ); document.write( "where \"a%5B1%5D\"= 1st term, \"d\"= common difference, & \"n+\"is the term\r
\n" ); document.write( "\n" ); document.write( "=> \"101+%2B+%28n-1%29%2A3+=+998\"\r
\n" ); document.write( "\n" ); document.write( "=> \"+%28n-1%29%2A3+=+998-101\"\r
\n" ); document.write( "\n" ); document.write( "=> \"3n+-+3+=+897\"\r
\n" ); document.write( "\n" ); document.write( "=> \"3n+=+900\"\r
\n" ); document.write( "\n" ); document.write( "=> \"n+=+300\"\r
\n" ); document.write( "\n" ); document.write( "So, there are \"300\" such numbers ………..ANS\r
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