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In this investigation I am trying to find a rule for the difference between any consecutive numbers in a sequence. I am going to use a series of algebraic expressions to try and come up with a successful rule that works for every consecutive number I try.
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Math's Investigation Consecutive Numbers Introduction In this investigation I am trying to find a rule for the difference between any consecutive numbers in a sequence. I am going to use a series of algebraic expressions to try and come up with a successful rule that works for every consecutive number I try. 2 Consecutive Numbers 1,2 = 3 2,3 = 5 3,4 = 7 4,5 = 9 3 Consecutive Numbers 1,2,3 = 6 2,3,4 = 9 3,4,5 = 12 4,5,6 = 15 4 Consecutive Numbers 1,2,3,4 = 10 2,3,4,5 = 14 3,4,5,6 = 18 4,5,6,7 = 22 As you can see from these results if I carry on the difference goes up by 4 each time. 5 Consecutive Numbers 1,2,3,4,5 = 15 2,3,4,5,6 = 20 3,4,5,6,7 = 25 4,5,6,7,8 = 30 Difference goes up by 5 each time. 6 Consecutive Numbers 1,2,3,4,5,6 = 21 2,3,4,5,6,7 = 27 3,4,5,6,7,8 = 33 4,5,6,7,8,9 = 39 Difference goes up by 6 each time. I have chosen to display results from 2-6 consecutive numbers. I have done this because I think it is an adequate amount...
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