Consecutive Sums

... Consecutive Sums Someone tells you that it is possible to make any number by writing an addition sum using only consecutive numbers. EXAMPLE 18 = 3 + 4 + 5 + 6 6 = 1 + 2 + 3 21 = 1 + 2 + 3 + 4 + 5 + 6 A) Is this person right? B) Can you make every number? C) Investigate and write down everything that you notice, as you go along. (E.g. patterns) ____________________________________________ A) This person must be wrong as they said you could make "any number" and I cannot make 8,16,32,40,56,64,80,88,96 this is not any number I feel this is sufficient proof to say that you can not make 'any' number. B) You can not make every number as a lot of numbers in the eight times table can not be made such as 8,16,32,40,56,64,80,88,96 so not every number can be made. C) 1 CON NUMBERS 2 CON NUMBERS 3 CON NUMBERS 4 CON

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