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

1/2-1/a+1=49/100

1/a+1 = 1/2-49/100

1/a+1=1/100

a+1=100

a=99

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

1/2-1/a+1=49/100

1/a+1 = 1/2-49/100

1/a+1=1/100

a+1=100

a=99

\(\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{a.\left(a+1\right)}=\frac{49}{100}\)

\(\Rightarrow\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{a}-\frac{1}{a+1}=\frac{49}{100}\)

\(\Rightarrow\frac{1}{2}-\frac{1}{a+1}=\frac{49}{100}\)

\(\Rightarrow\frac{1}{a+1}=\frac{1}{100}\)

\(\Rightarrow a+1=100\)

\(\Rightarrow a=99\)

=>1/2-1/3+1/3-1/4+...+1/a-1/a+1=49/100

=>1/2-1/a+1=49/100

=>1/a+1=49/100+1/2

=>1/a+1=99/100

=>\(\frac{99}{\left(a+1\right).99}=\frac{99}{100}\)

=>(a+1).99=100

=>a+1=100/99

=>a=100/99-1

=>a=1/99

Sheein chuyển vế sai rồi dẫn đến tìm x sai

\(\frac{1}{2\times3}+\frac{1}{3\times4}+............+\frac{1}{a\times\left(a+1\right)}=\frac{49}{100}\)

\(\Rightarrow\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+..............+\frac{1}{a}-\frac{1}{a+1}=\frac{49}{100}\)

\(\Rightarrow\frac{1}{2}-\frac{1}{a+1}=\frac{49}{100}\)

\(\Rightarrow\frac{1}{a+1}=\frac{1}{2}-\frac{49}{100}\)

\(\Rightarrow\frac{1}{a+1}=\frac{1}{100}\)

\(\Rightarrow a+1=100\)

\(\Rightarrow a=99\)

Đáp số là a = 99 nha còn cách làm thì  Nguyễn Hung Phat đã làm rồi nha

T ik nha bạn =))

Chúc bạn học tốt nhé !!!

1/2x3 +1/3x4 +..........+ 1/ax(a+1)=299/600

=>1/2-1/3+1/3-1/4+.........+ 1/a -1/a+1=299/600

=>1/2-1/a+1=299/600

=>a-1/2a=299/600

=>a=300

ai làm nhanh mik cho

mik cho

haizzz đáng tiếc tôi muốn ns là:  ko bao f và đừng mong chờ OK