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.
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.