9 = 4 + 5 and 2 + 3+ 4

10 = 1 + 2 + 3 + 4

11 = 5 + 6

12 = 3 + 4 + 5

13 = 6 + 7

14 = 2 + 3 + 4 + 5

15 = 7 + 8 and 4 + 5 + 6 and 1 + 2 + 3 + 4 + 5

Rice looked over Alice's shoulder:

"I wonder if we could write

**every**number as the sum of consecutive numbers?"

"Some numbers can be written in more than one way! I wonder which ones?"

"9

Let's see if you can answer some of the questions.

Getting Started:

Start by trying some simple cases; perhaps start by exploring what happens when you add two or three consecutive numbers.

1 + 2 + 3 = 6

2 + 3 + 4 = 9

3 + 4 + 5 = 12

Let us know what you find out. I'll put your explanations with your name on the bottom as answers.

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