Question

1/1.2+1/2.3+1/3.4+...+1/3023.3024=..

giúp mình câu nè nha khó quá ai trả lời đươc mình cho 100000000000000000000000000000000000000000000000000like

Answer 1

= 2-1/1.2 + 3-2/2.3 + 4-3/3.4 + ...... + 3024-3023/3023.3024

= 1-1/2+1/2-1/3+1/3-1/4+.....+1/3023-1/3024

= 1- 1/3024 = 3023/3024

Answer 2

=1-1/2+1/2-1/3+1/3-1/4+.......+1/3023-1/3014

=1-1/3024=3023/3024

k cho mình nha

Answer 3

\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{3023.3024}\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{3023}-\frac{1}{3024}\)

\(=1-\frac{1}{3024}\)

\(=\frac{3023}{3024}\)

Answer 4

\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{3023.3024}\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{3023}-\frac{1}{3024}\)

\(=1-\left(\frac{1}{2}-\frac{1}{2}\right)+\left(\frac{1}{3}-\frac{1}{3}\right)+...+\left(\frac{1}{3023}-\frac{1}{3023}\right)-\frac{1}{3024}\)

\(=1-\frac{1}{3024}=\frac{3023}{3024}\)

~ Hok tốt ~