document.write( "Question 983880: Find the sum of all the positive integers less than 100 that are multiples of 3. \n" ); document.write( "

Algebra.Com's Answer #604671 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
The numbers are:
\n" ); document.write( "3, 6, 9, 12, 15 . . . 99
\n" ); document.write( "I can express the sum as:
\n" ); document.write( " 1*3 +2*3 + 3*3 + 4*3 + 5*3 + . . . + 33*3
\n" ); document.write( "Also as:
\n" ); document.write( "3*( 1 + 2 + 3 + 4 + 5 + . . . + 33 )
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\n" ); document.write( "The formula for the sum of numbers from
\n" ); document.write( "1 to n is: $\"+S+=+%281%2F2%29%2A%28+n%2A%28+n%2B1+%29%29+\"$
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\n" ); document.write( "for instance:
\n" ); document.write( " $\"+1+%2B+2+%2B+3+%2B+4+%2B5+=+15+\"$
\n" ); document.write( " $\"+S+=+%281%2F2%29%2A%28+5%2A6+%29+\"$
\n" ); document.write( " $\"+S+=+15+\"$
\n" ); document.write( "-----------------------------
\n" ); document.write( "3*( 1 + 2 + 3 + 4 + 5 + . . . + 33 ) = $\"+3%2A%281%2F2%29%2A%28+33%2A34+%29+\"$
\n" ); document.write( " $\"+S+=+%28+3%2F2%29%2A1122+\"$
\n" ); document.write( " $\"+S+=+3%2A561+\"$
\n" ); document.write( " $\"+S+=+1683+\"$
\n" ); document.write( "Hope I got it!
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