
Hãy nhập câu hỏi của bạn vào đây, nếu là tài khoản VIP, bạn sẽ được ưu tiên trả lời.


xem ở đây bạn nè : http://olm.vn/hoi-dap/question/53910.html

3P = 1.2.3 + 2.3.3 + 3.4.3 + ... + 49.50.3
= 1.2.3 + 2.3.( 4 - 1 ) + 3.4.( 5 - 2 ) + ... + 49.50.( 51 - 48 )
= 1.2.3 + 2.3.4 - 1.2.3 + 3.4.5 - 2.3.4 + ... + 49.50.51 - 48.49.50
= 49.50.51 => P = \(\frac{49.50.51}{3}=41650\)

\(\frac{1}{2.3}+\frac{1}{3.4}+...+\frac{1}{49.50}\)
=\(\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{49}-\frac{1}{50}\)
=\(\frac{1}{2}-\frac{1}{50}\)
=\(\frac{12}{25}\)
Dấu chấm là dấu nhân,bạn bít rồi đúng ko
\(\frac{1}{2\cdot3}+\frac{1}{3\cdot4}+...+\frac{1}{49\cdot50}\)
\(=\frac{1}{2}-\frac{1}{3}+\frac{1}{3}-\frac{1}{4}+...+\frac{1}{49}-\frac{1}{50}\)
\(=\frac{1}{2}-\frac{1}{50}=\frac{25}{50}-\frac{1}{50}=\frac{24}{50}=\frac{12}{25}\)
Công thức : \(\frac{a}{b\left(b+a\right)}=\frac{1}{b}-\frac{1}{b+a}\)
\(\frac{2a}{b\left(b+a\right)\left(b+2a\right)}=\frac{1}{b\left(b+a\right)}-\frac{1}{\left(b+a\right)\left(b+2a\right)}\)
\(\frac{3a}{b\left(b+a\right)\left(b+2a\right)\left(b+3a\right)}=\frac{1}{b\left(b+a\right)\left(b+2a\right)}-\frac{1}{\left(b+a\right)\left(b+2a\right)\left(b+3a\right)}\)

ta có : \(B=1-\frac{1}{2}+\frac{1}{3}-\frac{1}{4}+\frac{1}{4}+...+\frac{1}{49}-\frac{1}{50}\)
\(B=\left(1+\frac{1}{3}+\frac{1}{5}+....+\frac{1}{49}\right)-\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{6}+...+\frac{1}{50}\right)\)
\(B=\left(1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6}+....+\frac{1}{49}+\frac{1}{50}\right)-2.\left(\frac{1}{2}+\frac{1}{4}+\frac{1}{6}+\frac{1}{8}+...+\frac{1}{50}\right)\)
\(B=\left(1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+\frac{1}{5}+\frac{1}{6}+...+\frac{1}{49}+\frac{1}{50}\right)-\left(1+\frac{1}{2}+\frac{1}{3}+\frac{1}{4}+...+\frac{1}{25}\right)\)
\(B=\frac{1}{26}+\frac{1}{27}+\frac{1}{28}+...+\frac{1}{49}+\frac{1}{50}\)
\(\Rightarrow\)\(B=A\)

(50-1):1+1=50 số
=(50-49)+(48-47)+...+(4-3)+(2-1). Ta có 25 cặp số
=1+1+1+....+1
=1.25
=25