Question

Tính nhanh : 

A=\(\frac{3}{1x4}\)+ \(\frac{3}{4x7}\)+ \(\frac{3}{7x10}\)+ ...... + \(\frac{3}{40x43}\)+ \(\frac{3}{43x46}\)4

Ai cmt đầu tiên mình sẽ like nha

Answer 1

\(A=\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+...+\frac{3}{40.43}+\frac{3}{43.46}\)

\(\Leftrightarrow A=1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+\frac{1}{7}-\frac{1}{10}+...+\frac{1}{40}-\frac{1}{43}+\frac{1}{43}-\frac{1}{46}\)

\(\Leftrightarrow A=1-\frac{1}{46}\)

\(\Leftrightarrow A=\frac{45}{46}\)

Answer 2

Các bạn ơi. Chỗ cuối ko có số 4 đâu nha. Mình viết lộn

Answer 3

A = \(\frac{3}{1.4}\)\(+\)\(\frac{3}{4.7}\)\(+\)\(...\)\(+\)\(\frac{3}{43.46}\)

 = 1 - \(\frac{1}{4}\)+ \(\frac{1}{4}\) - \(\frac{1}{7}\)+ ...+\(\frac{1}{43}\)- \(\frac{1}{46}\)

= 1 - \(\frac{1}{46}\)

= \(\frac{45}{46}\)