_ + (_ * _) / _ = 49 given 3,4,5,1
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We know that there are five odd numbers from 1 to 10 that are 1,3,5,7,9
Therefore, there are 5×5=25 odd numbers from 1 to 50.
We also know that 51 is also an odd number.
Thus, there are 25+1=26 odd numbers from 1 to 51.
In general, the sum of the first n odd natural numbers is equal to n
2
, for every natural number n.
Therefore, the sum 1+3+5+.....+51 can be found by squaring the number of odd numbers that is 26
2
=676
Hence, 1+3+5+.....+51=676
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