chung minh rang 1/3-2/3^2+3/3^3-4/3^4+....+99/3^99-100/3^100<3/16

chung minh 1/3-2/3^2+3/3^3-4/3^4+...+99/3^99-100/3^100<3/16

 

chung minh rang 1/3 -1 /3^2 + 3/3^3 -4/3^4+...+99/3^99-100/3^100 < 3/16

Chung minh rang:  \(\frac{1}{3}-\frac{2}{3^2}+\frac{3}{3^3}-\frac{4}{3^4}+....+\frac{99}{3^{99}}-\frac{100}{3^{100}}<\frac{3}{16}\)

Cho biểu thức P= 1/(3)^1 - 2/(3)^2 + 3/(3)^3 - 4/(3)^4 + ... + 99/(3)^99 - 100/(3)^100 Chứng minh rằng P < 3/16

chumg minh rang 1/3-2/3^2+3/3^3-4/3^4+...+99/3^99-100/3^100<3/16

chứng minh:  1/3-2/3^2+3/3^3-4/3^4+...+99/3^99-100/3^100<3/16

Chứng minh rằng : 1/3-2/3^2+3/3^3-4/3^4+...+99/3^99-100/3^100<3/16

Bài 1: Chứng minh rằng: \(\frac{1}{3}-\frac{2}{3^2}+\frac{3}{3^3}-\frac{4}{3^4}+...+\frac{99}{3^{99}}-\frac{100}{3^{100}}< \frac{3}{16}\)

Bài 2: Cho \(n\in N;n>1\). Chứng minh rằng: \(S=\frac{1}{2^2}+\frac{1}{3^2}+\frac{1}{4^2}+...+\frac{1}{\left(n-1\right)^2}+\frac{1}{n^2}\notin N\)