Question

CHỨNG MINH 

A= 4+4²+4³+....+4⁵⁰ CHIA HẾT CHO 10

SO SÁNH 33⁴⁴ VỚI 44³²

Answer 1

mình ko biết . xin lỗi nha

Answer 2

A=4+4^2+4^3+...+4^50

A=(4+4^2)+(4^3+4^4)+...+(4^49+4^50)

A=(4+4^2)+4^2(4+4^2)+...+4^48(4+4^2)

A=4+4^2(4^2 +4^4+...+4^48)\(⋮\)10 (vì 4+4^2=20\(⋮\)10)

Vậy A\(⋮\)10

Answer 3

\(A=4+4^2+4^3+...+4^{50}\)

\(\Rightarrow A=\left(4+4^2\right)+\left(4^3+4^4\right)+...+\left(4^{49}+4^{50}\right)\)

\(\Rightarrow A=4\left(1+4\right)+4^3\left(1+4\right)+...+4^{49}\left(4+1\right)\)

\(\Rightarrow A=4.5+4^3.5+...+4^{49}.5\)

\(\Rightarrow A=5\left(4+4^3+...+4^{49}\right)\)

\(\Rightarrow A=5\left(2^2+2^6+...+2^{98}\right)\)

\(\Rightarrow A=5.2\left(2+2^5+...+2^{97}\right)\)

\(\Rightarrow A=10\left(2+2^5+...+2^{97}\right)\)

\(\Rightarrow A⋮10\)