B=5+52+53+54+...+599+5100
=(5+52)+(53+54)+...+(599+5100)
=5.(1+5)+53.(1+5)+...+599.(1+5)
=5.6+53.6+...+599.6
=6.(5+53+...+599) chia hết cho 6(vì trong tích có 1 thừa số là 6)
Chúc bạn học giỏi nha!!!
K cho mik vs nhé Trần Thị Hương
\(B=5+5^2+5^3+.....+5^{100}\)
\(=5\left(1+5\right)+5^3\left(1+5\right)+.....+5^{99}\left(1+5\right)\)
\(=\left(1+5\right)\left(5+5^3+.....+5^{99}\right)\)
\(=6\left(5+5^3+.+5^{99}\right)\)chia hết cho 6
\(B=5+5^2+5^3+...+5^{100}\)
\(B=\left(5+5^2\right)+\left(5^3+5^4\right)+...+\left(5^{99}+5^{100}\right)\)
\(B=5.\left(1+5\right)+5^2\left(1+5\right)+...+5^{99}\left(1+5\right)\)
\(B=5.6+5^2.6+...+5^{99}.6\)
\(B=\left(5+5^2+...+5^{99}\right).6\)
Vậy B chia hết cho 6
B=5+52+53+54+...+599+5100
=(5+52)+(53+54)+...+(599+5100)
=5.(1+5)+53.(1+5)+...+599.(1+5)
=5.6+53.6+...+599.6
=6.(5+53+...+599) chia hết cho 6(vì trong tích có 1 thừa số là 6)
\(B=5+5^2+5^3+...+5^{100}\)
\(B=\left(5+5^2\right)+\left(5^3+5^4\right)+...+\left(5^{99}+5^{100}\right)\)
\(B=5.\left(1+5\right)+5^3.\left(1+5\right)+...+5^{99}.\left(1+5\right)\)
\(B=5.6+5^3.6+...+5^{99}.6\)
\(B=6.\left(5+5^3+...+5^{99}\right)\)
\(\Rightarrow B⋮6\)
