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-   -   Formula for a number that increases by same amount (https://www.askmehelpdesk.com/showthread.php?t=416141)

  • Nov 15, 2009, 10:04 AM
    thody
    Formula for a number that increases by same amount
    Hey... mathematically challenged here. I'm trying to figure out the following. Let's say I want to increase something by 4 each week but also keep the increases from the previous weeks and then get a grand total at the end. Let me show you below using 52 periods.

    4 + (4x2) + (4x3) + (4x4) + (4x5)... + (4x52) =??

    Right now I know I can just do 52 calculations and add them all together to get my answer but I'm wondering if there is a quicker/easier way. Thanks in advance for any help!
  • Nov 15, 2009, 11:38 AM
    galactus
    You want the sum of the first 52 integers multiplied by 4. Yes, there is an easier way.

    The sum of the first n integers can be found from the formula

    Your n is 52.

    So, we have

  • Nov 15, 2009, 11:44 AM
    thody
    Quote:

    Originally Posted by galactus View Post
    You want the sum of the first 52 integers multiplied by 4. Yes, there is an easier way.

    The sum of the first n integers can be found from the formula

    Your n is 52.

    So, we have


    Thanks so much!

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