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Asuna Yuuki

09/03/2017 at 21:44
Answers
4
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What is the value of the following expression :

A = 22 + 24 + 26 +...+2100




    List of answers
  • ...
    Kurosaki Akatsu Coordinator 09/03/2017 at 21:47

    Give A = 22 + 24 + .... + 2100

    4A = 24 + .... + 2100 + 2102

    4A - A = (24 + .... + 2100 + 2102) - (22 + 24 + .... + 2100)

    3A = 2102 - 22

    A = \(\dfrac{2^{102}-4}{3}\)

    Asuna Yuuki selected this answer.
  • ...
    Vũ Thị Hương Giang 09/03/2017 at 21:47

    Ta có : A = 22 + 24 + 26 + ...... + 2100

    => 22A = 24 + 26 + ...... + 2100 + 2102

    => 4A - A = 2102 - 22

    => 3A = 2102 - 4

    => A = \(\dfrac{2^{102}-4}{3}\)

  • ...
    demo acc 10/03/2017 at 14:44

    very good oaoa oho

  • ...
    FA FIFA Club World Cup 2018 16/01/2018 at 22:03

    Give A = 22 + 24 + .... + 2100

    4A = 24 + .... + 2100 + 2102

    4A - A = (24 + .... + 2100 + 2102) - (22 + 24 + .... + 2100)

    3A = 2102 - 22

    A = 2102−43


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