=1/1-1/4+1/4-1/7+1/7-1/10+1/10-1/13+1/13-1/16

=1-1/16=15/16

3/(1×4)+3/(4×7)+3/(7×10)+3/(10×13)+3/(13×16)

=1-1/4+1/4-1/7+1/7-1/10+1/10-1/13+1/13-1/16

=1-1/16

=15/16

31 x 434 x 737 x 10310 x 13 = 1.3289876e+12

mik phải dùng máy tính chứ có sịp nhân mới trả lời đc 

nhỉ ?????

ko có 3/13x16 nha bn

Ta có : \(\frac{3}{1.4}+\frac{3}{4.7}+\frac{3}{7.10}+\frac{3}{10.13}+\frac{3}{13.16}\)

\(=1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+.......+\frac{1}{13}-\frac{1}{16}\)

\(=1-\frac{1}{16}\)

\(=\frac{15}{16}\)

= 15/16

Tk mình nha!

Chúc bạn học giỏi

Đúng 100%

Mình cần gấp lắm

^.^

Cách giải thì làm theo bạn Lê Mạnh Tiến Đạt ý

\(M=\dfrac{3}{1\times2}+\dfrac{3}{2\times3}+\dfrac{3}{3\times4}+...+\dfrac{3}{2015\times2016}+\dfrac{3}{2016\times2017}\)
\(=3\times\left(\dfrac{1}{1\times2}+\dfrac{1}{2\times3}+\dfrac{1}{3\times4}+...+\dfrac{1}{2015\times2016}+\dfrac{1}{2016\times2017}\right)\)
\(=3\times\left(1-\dfrac{1}{2}+\dfrac{1}{2}-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{4}+...+\dfrac{1}{2015}-\dfrac{1}{2016}+\dfrac{1}{2016}-\dfrac{1}{2017}\right)\)
\(=3\times\left(1-\dfrac{1}{2017}\right)\)
\(=3\times\dfrac{2016}{2017}\)
\(=\dfrac{6048}{2017}\)
#DatNe

1/1.4+1/4.7+1/7.10+1/10.13+1/13.16

=1/3.(3/1.4+3/4.7+3/7.10+3/10.13+3/13.16)

=1/3.(1/1-1/4+1/4-1/7+1/7-1/10+1/10-1/13+1/13-1/16)

=1/3.(1/1-1/16)

=1/3.(16/16-1/16)=1/3.15/16=5/16

a)\(=\frac{2017}{2016}.\frac{3}{4}-\frac{1}{2016}.\frac{3}{4}\)

\(=\frac{3}{4}\left(\frac{2017}{2016}-\frac{1}{2016}\right)\)

\(=\frac{3}{4}.1\)

\(=\frac{3}{4}\)

b)\(=\frac{2015}{2016}\left(\frac{1}{2}+\frac{1}{3}-\frac{5}{6}\right)\)

\(=\frac{2015}{2016}.0\)

\(=0\)