Question

Giúp mk với

cho b = 2 + 2 mũ 2 + 2 mũ 3 + 2 mũ 4 + 2 mũ 5 + 2 mũ 6 + 2 mũ 7 + 2 mũ 8 + 2 mũ 9 +2 mũ 10chứng minh B chia hết cho 3

Answer 1

\(B=2+2^2+2^3+2^4+...+2^{10}\)

\(=\left(2+2^2\right)+\left(2^3+2^4\right)+...+\left(2^9+2^{10}\right)\)

\(=2\left(1+2\right)+2^2\left(1+2\right)+...+2^9\left(1+2\right)\)

\(=3\left(2+2^2+...+2^9\right)⋮3\)

\(\Rightarrow B⋮3\)

..

Answer 2

\(B=2+2^2+2^3+...+2^{10}\)

    =\(\left(2+2^2\right)+\left(2^3+2^4\right)+...+\left(2^9+2^{10}\right)\)

   =\(2\left(1+2\right)+2^3\left(1+2\right)+...+2^9\left(1+2\right)\)

   =\(2.3+2^3.3+2^5.3+2^7.3+2^9.3\)

  =\(3\left(2+2^3+2^5+2^7+2^9\right)⋮3\)

Vậy \(B⋮3\)

Answer 3

\(B=2+2^2+2^3+...+2^{10}\)

\(B=\left(2+2^2\right)+\left(2^3+2^4\right)+...+\left(2^9+2^{10}\right)\)

\(B=2\left(1+2\right)+2^3\left(1+2\right)+...+2^9\left(1+2\right)\)

\(B=2\cdot3+2^3\cdot3+...+2^9\cdot3\)

\(B=3\left(2+2^3+...+2^9\right)\)

Vì \(3⋮3\Rightarrow3\left(2+2^3+...+2^9\right)⋮3\)

\(\Rightarrow B⋮3\)

Vậy ...

Answer 4

Có B=2+2²+2³+2⁴+2⁵+2⁶+2⁷+2⁸+2⁹+2¹⁰

B=(2+2²)+(2³+2⁴)+(2⁵+2⁶)+(2⁷+2⁸)+(2⁹+2¹⁰)

B=6+2²(2+2²)+2⁴(2+2²)+2⁶(2+2²)+2⁸(2+2²)

B=1.6+2².6+2⁴.6+2⁶.6+2⁸.6

B=6(1+2²+2⁴+2⁶+2⁸)  chia hết cho 6

Answer 5

2+2^2+2^3+2^4+..........+2^9+2^10

A=(2+2^2)+2^3+(2+2^2)+.........+2^10+(2+2^2)

A=2+2^2 +2+2^2 +2+2^2 +......+2+2^2

A=6+2^3 X 6+2^4x ..........x6+2^10

vì 6:3

vậy a:3

chúc bn hc tốt

Answer 6

nguoi ta hoi 3 tu nhien ra 6 bn oi~

Answer 7

thì chia hết cho 6 cũng chia hết cho 3 mà

Answer 8

haizz í mk là họ hỏi :3 ko:6

Answer 9

thì bạn có thể suy ra là nếu số này chia hết cho 6 thì nó cũng chia hết cho 3

Answer 10

OKEEEEEEEEEEEEEE