Number Tricks
Last Post 30 May 2012 12:22 PM by Andrej. 1 Replies.
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Basic Member
Basic Member

30 May 2012 05:40 AM
    Ms. Arroyo asked the class to see if they could find the sum of the first 50 odd numbers. As everyone settled down to their addition, Terry ran to her and said, "The sum is 2,500." Ms. Arroyo thought, "Lucky guess," and gave him the task of finding the sum of the first 75 odd numbers. Within 20 seconds, Terry was back with the correct answer of 5,625.

    How does Terry find the sum so quickly?
    New Member
    New Member

    30 May 2012 12:22 PM
    Because he tried to make an arithmentic progression with them:

    101- the 50th odd number
    1- 1st odd number

    Sn= (101-1)/2*50=50*50=50^2

    151- 75 odd number

    Sn= (151-1)/2*75=75*75=75^2, and so on....