đặt B=1/1.2+1/2.3+...+1/49.50
ta có:
A=1/1^2+1/2^2+1/3^2+1/4^2+....+1/50^2<B=1/1.2+1/2.3+...+1/49.50 (1)
B=1/1.2+1/2.3+...+1/49.50
=1-1/2+1/2-1/3+...+1/49-1/50
=1-1/50<1 (2)
từ (1) va (2)=>A<B<2
=>A<2
đặt B=1/1.2+1/2.3+...+1/49.50
ta có:
A=1/1^2+1/2^2+1/3^2+1/4^2+....+1/50^2<B=1/1.2+1/2.3+...+1/49.50 (1)
B=1/1.2+1/2.3+...+1/49.50
=1-1/2+1/2-1/3+...+1/49-1/50
=1-1/50<1 (2)
từ (1) va (2)=>A<B<2
=>A<2
cho S = 1/5^2 + 1/7^2 + 1/9^2+...+1/103^2
Chứng minh rằng S < 5/32
giup minh voi:
Cho:a= -1+2-3+4-....+(-1) n. Chứng tỏ A17 + A33+A50=-1
Cho A=1/1^1+1/2^2+1/3^2+1/4^2+......+1/50^2. Chứng minh A<2.
Cho A = 2 1 1 + 2 2 1 + 2 3 1 + 2 4 1 +…+ 2 50 1 . chứng minh A< 2
Cho A=1/1^2+1/2^2+1/3^2+1/4^2+...+1/50^2. Chứng minh A<2
a,A=1/1^2+1/2^2+1/3^2+1/4^2+...+1/50^2.chung minh rang a<2
b;2^1+2^2+2^3+...+2^30.chung minh rang B chia het cho21
A=1/1^2 + 1/2^2 + 1/3^2 + 1/4^2 +...+1/50^2
chứng minh rằng A<2
Chung minh A < 2:
A=1/1^2+1/2^2+1/3^2+1/4^2+.....+1/50^2