express 15² as the sum of consecutive odd numbers
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Step-by-step explanation:
15² = 225
Let the two consecutive odd numbers be x, x+2, x+4
(Consecutive odd numbers have difference two between them)
So x+x+2+x+4 = 225
3x+6 = 225
3x = 219
x = 73
So x+2 = 75
x+4 = 77
15² = 73+75+77
Therefore 15² can be expressed as sum of 3 consecutive odd numbers.
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