Consecutive Sums

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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.
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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)

CON NUMBERS

2 CON NUMBERS

3 CON NUMBERS

4 CON NUMBERS

5 CON

NUMBERS

0 + 1

2

3

+2

0+1+2

4

5

2+3

6

+2+3

0+1+2+3

7

3+4

8

**

**

**

**

**

9

4+5
...

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