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Math Help - Average to 1000

  1. #1
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    Average to 1000

    Find the average for the 1000 whole numbers from 1 to 1000, inclusive.
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  2. #2
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    Herllo, aznmartinjai!

    Find the average for the 1000 whole numbers from 1 to 1000, inclusive.

    Simple . . . add the numbers from 1 t0 1000 and divide by 1000 . . . LOL!


    If you know the formula for the sum of the first n positive integers, it's faster.
    . . The sum of the first n positive integers is: .n(n + 1)/2

    So the sum is: .1000(1001)/2

    And the average is: .1000(1001)/2 1000 .= .500.5


    ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~

    If you didn't know that formula, you could still find the sum.

    We have: .1 + 2 + 3 + . . . + 998 + 999 + 1000

    Add pairs of numbers "from the ends".
    . . 1 + 1000 .= .1001
    . . .2 + 999 .= .1001
    . . .3 + 998 .= .1001
    . . . . .and so on . . .

    How many such pairs are there?
    . . There are five hundred pairs.

    Therefore, the sum is: .1001 500 .= .500,500

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  3. #3
    Senior Member OReilly's Avatar
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    Quote Originally Posted by aznmartinjai View Post
    Find the average for the 1000 whole numbers from 1 to 1000, inclusive.
    I am not sure why you are asking questions like this.

    This is 4th or 5th question similar to prior ones that you have posted.

    Is your goal to try to confuse MathHelpForum members or are that your homework questions?
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