document.write( "Question 92674This question is from textbook prentice hall mathematics geometry
\n" ); document.write( ": use the table and inductive reasoning. make a conjecture about each value.
\n" ); document.write( "Question: What is the sum of the first 6 positve even numbers. and the sum of the first 100 positive numbers. here is the table
\n" ); document.write( " 2 =2=1*2
\n" ); document.write( " 2+4 =6=2*3
\n" ); document.write( " 2+4+6 =12=3*4
\n" ); document.write( " 2+4+6+8 =20=4*5
\n" ); document.write( " 2+4+6+8+10 =30=5*6 \n" ); document.write( "

Algebra.Com's Answer #67497 by scott8148(6628) $\"\"$ $\"About$

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the next step (6th) in the table would be for 6 numbers, giving a sum of 6*7 or 42\r
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\n" ); document.write( "\n" ); document.write( "if you think about the first 100 positive numbers; 1+100=101, 2+99=101, 3+98=101, etc.\r
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\n" ); document.write( "\n" ); document.write( "there will be 50 such pairs ... so the sum is 101*50 or 5050\r
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