If you add up the numbers 1-100 consecutively (1+2+3+4+5 etc) the total is 5050.

If you add up the numbers 1-100 consecutively (1+2+3+4+5 etc) the total is 5050.

 

 

  • When you have got numbers listed consecutively, then the simplest way to find the sum is:

    n * (n + 1) / 2

    So, when n = 100, the sum would be:

    100 * 101/2 = 5050

    You can modify this method to find the sum of all numbers from 31 to 50!! Try it and let us know what you get!!

 

  • 1 + 100 is 101
    2 + 99 is 101
    3 + 98 is 101

    Since there are 100 numbers (or 50 combinations) which total 101 as you proceed inward from 1 to 100, just multiply 101 by 50 and you come out with the answer 5050.

 

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