Question

1/2.3+1/3.4+...+1/99.100

Giúp mik với!!!🙏🏻🙏🏻🙏🏻

Answer 1

\(\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{99.100}\)

\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{99}-\frac{1}{100}\)

\(=\frac{1}{2}-\frac{1}{100}\)

\(=\frac{49}{100}\)

Mk ghi hơi ngắn nên mong bn sẽ hiểu.

CHÚC BẠN HỌC TỐT!

Answer 2

Trả lời

\(\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+\frac{1}{4\cdot5}+...+\frac{1}{99\cdot100}\)

\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+...+\frac{1}{99}-\frac{1}{100}\)

\(=\frac{1}{2}-\frac{1}{100}\)

\(=\frac{49}{100}\)

Answer 3

Có: \(\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{99.100}\)

\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{99}-\frac{1}{100}\)

\(=\frac{1}{2}-\frac{1}{100}\)

\(=\frac{49}{100}\)

Answer 4

1/2-1/3+1/3-1/4+...+1/99-1/100=1/2-1/100=49/100

Answer 5

1/2.3 + 1/3.4 + ... + 1/99.100 

= 1/2 - 1/3 + 1/3 - 1/4 + ... + 1/99 - 1/100

= 1/2 + (-1/3 + 1/3) + (-1/4 + 1/4) + ... + (-1/99 + 1/99) - 1/100

= 1/2 - 1/100 = 49/100

Answer 6

Cảm ơn nhìu

Answer 7

1/2-1/3+1/3-1/4+....+1/98-1/99+1/99-1/100                                                                                                                                                          =1/2 -1/100  =49/100                                               

Answer 8

3-2/2.3+4-3/3.4+....+100-99/99.100

=1/2-1/3+1/3+...+1/99-1/100

=1/2-1/100

=49/100