The number 15 can be written as the sum of consecutive whole numbers in three ways.
15 = 7 + 8
15 = 4 + 5 + 6
15 = 1 + 2 + 3 + 4 + 5
In how many ways can you write 105 as the sum of whole numbers?
Solution:
Here are five ways:
105 = 52 + 53
105 = 34 + 35 + 36
105 = 19 + 20 + 21 + 22 + 23
105 = 12 + 13 + 14 + 15 + 16 + 17 + 18
105 = 1 + 2 + 3 + 4 + 5 + 6 + 7 + 8 + 9 + 10 + 11 + 12 + 13 + 14
In how many ways can you write 24 as the sum of whole numbers?
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