Question

So sánh M= 1/1.2+1/2.3+...+1/49.50 với 1

Answer 1

M=1/1.2+1/2.3+...+1/49.50

M=1/1-1/2+1/2-1/3+.....+1/49-1/50

M=1-1/50<1

=>M<1

Answer 2

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

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

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

\(=>M<1\)

Answer 3

M = 1/1.2 + 1/2.3 + ... + 1/49.50

M = 1 - 1/2 + 1/2 - 1/3 + ... + 1/49 - 1/50

M = 1 - 1/50

M = 49/50 

Vì 49/50 < 1

=> M < 1

Answer 4

1/1.2+1/2.3+...+1/49.50>1

Answer 5

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

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

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

co \(1-\frac{1}{50}<1\)

\(\Rightarrow\frac{1}{1.2}+\frac{1}{2.3}+......+\frac{1}{49.50}<1\)