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by Kurdawar on May 28th, 2008

Kurdawar

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What is the sum of integers from 1 to 10?

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  • by The Special One on May 28th, 2008

    The Special One

    How about I teach you how to do that?

    You're asking the following question, which is trivial in it's own right:
    1+2+3+4+5+6+7+8+9+10 = ?

    But what if you asked...
    2+5+8+11+14+17+20 = ?

    Or, any such sequence like that.

    To find the sum of the sequence, all you need to know is the number of terms (in your case it's 10, in my example case it's 7), the first term (in yours it's 1, in mine it's 2), and the last term (yours: 10, mine:20)

    The general formula is: (First term + last term) * (number of terms / 2)

    For yours it's (1+10)*(10/2) or 55
    For mine it's (2+20)*(7/2) or 77


    This will always work for a sequence that has a constant difference between the terms.

  • by aishwarya on June 4th, 2008

    aishwarya

    answer is 55.
    formula is last number*(lastnumber+1)divided by 2.
    but number should begin from 1 .

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