document.write( "Question 82086: write the series 6+12+18+24 with summation notation \n" ); document.write( "

Algebra.Com's Answer #58805 by Edwin McCravy(20056) $\"\"$ $\"About$

You can put this solution on YOUR website!

write the series 6+12+18+24 with summation notation\r\n" );
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document.write( "The terms are the first four multiples of 6.\r\n" );
document.write( "Each successive term is 6 times the next integer.\r\n" );
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document.write( "So we could write it:  \r\n" );
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document.write( "The k=1 on the bottom indicates that we are to start out\r\n" );
document.write( "by substituting k=1 into the formula \"6k\", so we start with: \r\n" );
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document.write( " 6(1)\r\n" );
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document.write( "then we put a + sign after that, \r\n" );
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document.write( " 6(1)+\r\n" );
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document.write( "Then we substitute k=2 into the formula \"6k\" getting 6(2) so\r\n" );
document.write( "we annex that on and now we have:\r\n" );
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document.write( " 6(1)+6(2)\r\n" );
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document.write( "then we put a + sign after that,\r\n" );
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document.write( " 6(1)+6(2)+\r\n" );
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document.write( "Then we substitute k=3 into the formula \"6k\" getting 6(3) so\r\n" );
document.write( "we annex that on and now we have:\r\n" );
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document.write( " 6(1)+6(2)+6(3)\r\n" );
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document.write( "then we put a + sign after that,\r\n" );
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document.write( "Then we substitute k=4 into the formula \"6k\" getting 6(4) so\r\n" );
document.write( "we annex that on and now we have:\r\n" );
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document.write( " 6(1)+6(2)+6(3)+6(4)\r\n" );
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document.write( "and we stop there because the 4 on top of the summation tells\r\n" );
document.write( "us to quit when we get to 4. And the above is equivalent to\r\n" );
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document.write( " 6+12+18+24\r\n" );
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document.write( "We can choose other letters for the dummy variable.\r\n" );
document.write( "Any of the following would be just as good an answer:\r\n" );
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document.write( "We can technically use any letter for the dummy variable, \r\n" );
document.write( "but usually the dummy variable is chosen as a lower case \r\n" );
document.write( "letter taken from the middle of the alphabet somewhere, \r\n" );
document.write( "like i,j,k,m,m. The letter 'small l' isn't used much as a dummy \r\n" );
document.write( "variable because it looks too much like the number 1.\r\n" );
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document.write( "Edwin

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