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Question

find out a pattern for the relationship between the number of odd numbers and sum can be known

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Solution

1 = 12

1 + 3 = 4 = 22

1 + 3 + 5 = 32

1 + 3 + 5 + 7 = 42

following the same pattern we can conclude that

1 + 3 + 5 + 7 + .... + (2n - 1) = n2


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