Số các số hạng của A là:

     (4950-1):2+1=[bạn tự tính]

Số A là:

      (4950+1)x(kết quả trên:2)=[bạn tự tính]

                                    Đáp số:.................

D=1/3+1/6+1/10+1/15+......+1/4950

=2x（1/6+1/12+1/20+1/30+……+1/9900）

=2x（1/2-1/3+1/3-1/4+1/4-1/5+1/5-1/6+……+1/99-1/100）

=2x（1/2-1/100）

=1-1/50

=49/50

**** nhé

hahaha

A = \(\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{1}{10}+...+\dfrac{1}{4950}\)

A = \(2.\left(\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+...+\dfrac{1}{9900}\right)\)

A = \(2.\left(\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+...+\dfrac{1}{99}-\dfrac{1}{100}\right)\)

A = \(2.\left(\dfrac{1}{2}-\dfrac{1}{100}\right)\)

A = \(1-\dfrac{1}{50}\)

A = \(\dfrac{49}{50}\)

~ Chúc bạn học giỏi ! ~

\(A=\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{1}{10}+...+\dfrac{1}{4950}\)

\(\Rightarrow2A=\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+...+\dfrac{1}{9900}\)

\(\Rightarrow2A=\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+\dfrac{1}{4}-\dfrac{1}{5}+...+\dfrac{1}{99}-\dfrac{1}{100}\)

\(\Rightarrow2A=\dfrac{1}{2}-\dfrac{1}{100}\)

\(\Rightarrow A=1-\dfrac{1}{50}\)

\(\Rightarrow A=\dfrac{49}{50}\)

\(A=\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{1}{10}+...+\dfrac{1}{4950}\)

\(\dfrac{1}{2}A=\dfrac{1}{2}\left(\dfrac{1}{3}+\dfrac{1}{6}+\dfrac{1}{10}+...+\dfrac{1}{4950}\right)\)

\(\dfrac{1}{2}A=\dfrac{1}{6}+\dfrac{1}{12}+\dfrac{1}{20}+...+\dfrac{1}{9900}\)

\(\dfrac{1}{2}A=\dfrac{1}{2.3}+\dfrac{1}{3.4}+\dfrac{1}{4.5}+...+\dfrac{1}{99.100}\)

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

\(\dfrac{1}{2}A=\dfrac{1}{2}-\dfrac{1}{100}\)

\(\dfrac{1}{2}A=\dfrac{49}{100}\)

\(A=\dfrac{49}{50}\)

ta gọi biểu thức trên là B có 

2B=2.(\(\frac{1}{6}\)+\(\frac{1}{10}\)+\(\frac{1}{15}\)+....+\(\frac{1}{4950}\))

2B=\(\frac{1}{12}+\frac{1}{20}+\frac{1}{30}+......+\frac{1}{9900}\)

2B=\(\frac{1}{3.4}+\frac{1}{4.5}+\frac{1}{5.6}+.......+\frac{1}{99.100}\)

2B=\(\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}\)+.....+\(\frac{1}{99}-\frac{1}{100}\)

2B=\(\frac{1}{3}-\frac{1}{100}\)

2B=\(\frac{100-3}{300}\)

B=\(\frac{97}{300}\): 2

B=\(\frac{97}{300}.\frac{1}{2}\)

B=\(\frac{97}{600}\)

Ta gọi biểu thức là A

A=1/6 + 1/10 + 1/15 + .... + 1/4950

A=6/12+6/20+6/30+...+6/9900

A=6.(1/3.4 + 1/4.5 + 1/5.6 +.... + 1/99.100 )

A=6.(1/3 - 1/4 +1/4-1/5+1/5-1/6+....+1/99-1/100)

A=6.(1/3-1/100)

A=6.97/300

A=97/50

\(\frac{1}{6}+\frac{1}{10}+\frac{1}{15}+...+\frac{1}{4950}\)

\(=\frac{2}{12}+\frac{2}{20}+\frac{2}{30}+...+\frac{2}{9900}\)

\(=\frac{2}{3\times4}+\frac{2}{4\times5}+\frac{2}{5\times6}+...+\frac{2}{99\times100}\)

\(=2\times\left(\frac{1}{3\times4}+\frac{1}{4\times5}+\frac{1}{5\times6}+...+\frac{1}{99\times100}\right)\)

\(=2\times\left(\frac{1}{3}-\frac{1}{4}+\frac{1}{4}-\frac{1}{5}+\frac{1}{5}-\frac{1}{6}+...+\frac{1}{99}-\frac{1}{100}\right)\)

\(=2\times\left(\frac{1}{3}-\frac{1}{100}\right)\)

\(=2\times\frac{97}{300}\)

\(=\frac{97}{150}\)

_Chúc bạn học tốt_

x3x

Bạn nào có nik ngọc rồng ( vip gà gì cũng đc ) ko chơi nữa cho mình nha , nhớ gửi qua tin nhắn ... XIN ACC NRO Ạ

Ai cho sẽ đc k mỗi ngày

21)

\(\left(1+\dfrac{1}{3}\right).\left(1+\dfrac{1}{8}\right).\left(1+\dfrac{1}{15}\right).....\left(1+\dfrac{1}{9999}\right)\\ =\dfrac{4}{3}.\dfrac{9}{8}.\dfrac{16}{15}.....\dfrac{10000}{9999}\\ =\dfrac{2.2}{1.3}.\dfrac{3.3}{2.4}.\dfrac{4.4}{3.5}.....\dfrac{100.100}{99.101}\\ =\dfrac{2.3.4.....100}{1.2.3.....99}.\dfrac{2.3.4.....100}{3.4.5.....101}\\ =100.\dfrac{2}{101}\\ =\dfrac{200}{101}\)

các bạn giải cho mình nhé