Question

CMR:

\(y=\frac{1}{5}\)\(+\frac{1}{15}+\frac{1}{25}+...+\frac{1}{1985}\)< \(\frac{9}{20}\)

 

Answer 1

A = (1/5)+(1/15)+(1/25)+...+(1/1985)=
1/5+1/3*5+1/5*5+1/7*5+.........+1/397*5
5A=1+1/3+1/5+1/7+.......+1/397
5A-1=1/3+1/5+1/7+.......+1/397
Đặt B= 1/3+1/5+1/7+.......+1/397 
=>.......................Tính đc B=5,06241 (lấy gần bằng)=> A= 1,2124 (lấy số gần bằng)
=> A < 9/20

Answer 2

a<9/20

Answer 3

90/20

Answer 4

A = (1/5)+(1/15)+(1/25)+...+(1/1985)

= 1/5+1/3*5+1/5*5+1/7*5+.........+1/397*5 5A

=1+1/3+1/5+1/7+.......+1/397 5A-1=1/3+1/5+1/7+.......+1/397

Đặt B= 1/3+1/5+1/7+.......+1/397 

=>.......................Tính đc B=5,06241 (lấy gần bằng)

=> A= 1,2124 (lấy số gần bằng)

=> A < 9/20

Answer 5

Miku sao chép bài của Nguyễn Hoàng Mỹ Ý