SOLUTION: use the table and inductive reasoning. make a conjecture about each value. Question: What is the sum of the first 6 positve even numbers. and the sum of the first 100 positive nu

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 Click here to see ALL problems on Geometric formulas Question 92674This question is from textbook prentice hall mathematics geometry : use the table and inductive reasoning. make a conjecture about each value. 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 2 =2=1*2 2+4 =6=2*3 2+4+6 =12=3*4 2+4+6+8 =20=4*5 2+4+6+8+10 =30=5*6This question is from textbook prentice hall mathematics geometry Answer by scott8148(6628)   (Show Source): You can put this solution on YOUR website!the next step (6th) in the table would be for 6 numbers, giving a sum of 6*7 or 42 if you think about the first 100 positive numbers; 1+100=101, 2+99=101, 3+98=101, etc. there will be 50 such pairs ... so the sum is 101*50 or 5050