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Math Help - Interesting one!

  1. #1
    Member great_math's Avatar
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    Interesting one!

    there are 100 ties numbered from 1-100. all ties numbered with a square are taken out. the remaining ties are renumbered from 1 onwards. again all ties numbered with square numbers are taken out. the remaining tie are renumbered again 1 onwards. find a general formula for n^2 number of ties for how many times square numbered ties were taken out till only a tie numbered 1 remained
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  2. #2
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    100-10-9-9-8-8......-2-2-1=1 so ,18 times.
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  3. #3
    Like a stone-audioslave ADARSH's Avatar
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    Hello,
    Quote Originally Posted by repcvt View Post
    100-10-9-9-8-8......-2-2-1=1 so ,18 times.
    Well done, repcvt but you need to explain your answer
    Here is a clue
    1,2,3,4....100---->(10 squares are there)
    1,2,3.......90---> (9 squares are there )
    1,2,3.......81---->(9 squares are there)
    1,2,3.......72---->(8 squares are there)
    1,2,3.......64----->(8 squares are there)
    1,2,3.......56----->(7 squares are there)
    1,2,3.......49----->(7 squares are there)
    ...
    ....
    ...
    ....
    1,2--->(1 square left)
    1

    watch the three steps in red
    (n^2) - (n) - (n-1)= (n-1)^2
    this will do
    feel free to ask if trouble persists
    from,
    Adarsh
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