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What is the sum of odd numbers 11,13,15,17,19?

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  1. 1
    It is easy to find the sum of consecutive odd numbers. which start from 1,3,5.....so on, by just doing n^2.But, if the odd number doesn't start from 1, then the task becomes tedious.The easy formula for the same is n[a + (n-1)], where n is the number of consecutive odd numbers and a is the first odd number.
  2. 2
    So, in our example it will be5*[11 + (5-1)] = 5*[11 +4]= 5*15= 75
  3. 3
    Now it becomes hard sometimes to find n. For example, if our sequence is 3,5,7........999Then, n is ([LastNumber - FirstNumber]/2) + 1 so in our example, n is:([999-3]/2) + 1= 498 +1 = 499
  4. 4
    Sum will be 499* [3 + (499 -1 )]= 499*[3 + 498]= 499 * 501= 249999

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