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Math Brain Twister - 29 October

100^2 - 99^2 + 98^2 - 97^2 + 96^2 - 95^2 + ... + 2^2 - 1^2 = ?

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2 comments:

  1. Answer is 5050.
    100^2-99^2 = (99+1)^2-99^2 ->> 99^2+2*99+1-99^2 --> 2*99+1 -->100+99
    Same Way for 98^2-97^2 will give us 98+97
    & so in
    hence total series will read 100+99+98+97+ .....+2+1 : Sum ( 1 to 100)
    Equal 5050.

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