Question

So sánh M=\(\frac{1}{1.2}\)+\(\frac{1}{2.3}\)+...+\(\frac{1}{49.50}\)với 1

Answer 1

= 1.(1/1-1/50)

=49/50

49/50 < 1

Vậy M < 1

Answer 2

VẬY M < 1

CÓ GÌ THÌ MIK ĐƯA LỜI GIẢI CHO

TÍCH MIK NHA

Answer 3

\(M=\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{49.50}\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+......+\frac{1}{49}-\frac{1}{50}=1-\frac{1}{50}=\frac{49}{50}\)

\(\frac{49}{50}<1\Rightarrow M<1\)

Answer 4

\(\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{49.50}=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{49}-\frac{1}{50}\)

                                              \(=1-\frac{1}{50}\)

                                              \(=\frac{49}{50}\)

\(\frac{49}{50}<1\)

Answer 5

\(M=\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{49.50}\)

\(M=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{49}-\frac{1}{50}\)

\(M=1-\frac{1}{50}<1\)

 \(\Rightarrow M<1\)