MathYouLike MathYouLike
  • Toggle menubar
  • Toggle fullscreen
  • Toggle Search
  •    Sign up
  • QUESTIONS
  • TAGS
  • USERS
  • BADGES
  • UNANSWERD
  • ASK A QUESTION
  • BLOG
...

Amano Ichigo

22/10/2017 at 14:47
Answers
4
Follow

Tổng sau có chia hết cho 3 ko :

A = 2 + 22 + 23 + 24 + 25 + 26 + 27 + 28 + 29 + 210 .


Number


    List of answers
  • ...
    Luffy xyz 123 23/10/2017 at 06:28

    A = 2 + 22 + 23 + 24 + 25 + 26 + 27 + 28 + 29 + 210

    A = 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512 + 1024

    Then you calculated

  • ...
    Detecvite Conan 22/10/2017 at 15:57

    A=2+4+8+16+32+64+128+256+512+1024=2046

    Divisible by 3 is the number of digits divided by 3, then divisible by 3

    => 2046:3

  • ...
    Detecvite Conan 22/10/2017 at 15:56

    A=2+4+8+16+32+64+128+256+512+1024=2046

    Divisible by 3 is the number of digits divided by 3, then divisible by 3

    => 2046:3

    Answer: A:3

  • ...
    Phan Văn Hiếu 29/10/2017 at 16:24

    \(A=2+2^2+2^3+2^4+2^5+2^6+2^7+2^8+2^9+2^{10}\)

    \(2A=2^2+2^3+2^4+2^5+2^6+2^7+2^8+2^9+2^{10}+2^{11}\)

    \(2A-A=\left(2^2+2^3+2^4+2^5+2^6+2^7+2^8+2^9+2^{10}+2^{11}\right)\)

    \(-\left(2+2^2+2^3+2^4+2^5+2^6+2^7+2^8+2^9+2^{10}\right)\)

    \(A=2^{11}-2\)

    \(A=2\left(2^{10}-1\right)\)

    \(\)we have  \(2^{10}\)divide 3 residual 1

    should \(2^{10}-1⋮3\)

    \(\Rightarrow2\left(2^{10}-1\right)⋮3\)or \(A⋮3\)


Post your answer

Please help Amano Ichigo to solve this problem!



Weekly ranking


© HCEM 10.1.29.225
Crafted with by HCEM