Question

Tính tổng : \(\frac{1}{1\cdot2}+\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+......+\frac{1}{43\cdot44}\)

Answer 1

\(\frac{1}{1.2}+\frac{1}{2.3}+...+\frac{1}{43.44}\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+...+\frac{1}{43}-\frac{1}{44}\)

\(=1-\frac{1}{44}\)

\(=\frac{43}{44}\)

Answer 2

\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{43.44}\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{43}-\frac{1}{44}\)

\(=1-\frac{1}{44}\)

\(=\frac{43}{44}\)

Answer 3

=43/44 nha bạn

Answer 4

43/44

nhớ k nha

Answer 5

đáp án =\(\frac{43}{44}\)

kết bạn với mh nha

Answer 6

\(\frac{1}{1.2}\)\(\frac{1}{2.3}+\frac{1}{3.4}\)+... +\(\frac{1}{43.44}\)= \(1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{43}-\frac{1}{44}\)

                                                                 = 1-\(\frac{1}{44}\)

                                                                  =\(\frac{43}{44}\)

Answer 7

ta có:

\(\frac{1}{1.2}+\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{43.44}\)

\(=1-\frac{1}{2}+\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{43}-\frac{1}{44}\)

\(=1-\frac{1}{44}=\frac{43}{44}\)

học tốt nhé!!