Question

số dư của :

A=2^0+2^1+2^2+2^3+...+2^100  

khi chia cho 15

nhanh lên nhé các bạn

 

Answer 1

A=2⁰+2¹+2²+...+2¹⁰⁰

  =(2⁰+2¹+2²+2³)+..+(2⁹⁷+2⁹⁸+2⁹⁹+2¹⁰⁰)

  =1.(2⁰+2¹+2²+2³)+...+2⁹⁷.(2⁰+2¹+2²+2³)

  =1.15+...+2⁹⁷.15

  =15.(1+...+2⁹⁷) chia hết cho 15

Vậy A chia 15 dư 0

xin lỗi bài trên làm thiếu

Answer 2

1 nhé bạn!Tick mình nha!

Answer 3

A=2⁰+2¹+2²+...+2¹⁰⁰

  =(2⁰+2¹+2²)+..+(2⁹⁸+2⁹⁹+2¹⁰⁰)

  =1.(2⁰+2¹+2²)+...+2⁹⁸.(2⁰+2¹+2²)

  =1.15+...+2⁹⁸.15

  =15.(1+...+2⁹⁸) chia hết cho 15

Vậy A chia 15 dư 0

 

Answer 4

18000081180000811800008118000081

Answer 5

dư 0 cái con kẹt

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