4/1x3+4/3x5+4/5x7+...+4/25x27
giúp mình với mình đag cần gấp
4/1x3 - 8/3x5 + 12/5x7 -16/7x9 + 20/9x11 - 24/11x13
giúp mình giải bài nay với ạ
A = \(\dfrac{4}{1\times3}\) - \(\dfrac{8}{3\times5}\) + \(\dfrac{12}{5\times7}\) - \(\dfrac{16}{7\times9}\) + \(\dfrac{20}{9\times11}\) - \(\dfrac{24}{11\times13}\)
A = ( \(\dfrac{1}{1}+\dfrac{1}{3}\)) - ( \(\dfrac{1}{3}\) + \(\dfrac{1}{5}\)) + (\(\dfrac{1}{5}\)+ \(\dfrac{1}{7}\)) - ( \(\dfrac{1}{7}\) + \(\dfrac{1}{9}\)) +( \(\dfrac{1}{9}\)+ \(\dfrac{1}{11}\)) - (\(\dfrac{1}{11}\)+\(\dfrac{1}{13}\))
A = \(\dfrac{1}{1}+\dfrac{1}{3}\) - \(\dfrac{1}{3}-\dfrac{1}{5}+\dfrac{1}{5}+\dfrac{1}{7}\) - \(\dfrac{1}{7}\) - \(\dfrac{1}{9}\) + \(\dfrac{1}{9}\) + \(\dfrac{1}{11}\) - \(\dfrac{1}{11}\) - \(\dfrac{1}{13}\)
A = \(\dfrac{1}{1}\) - \(\dfrac{1}{13}\)
A = \(\dfrac{12}{13}\)
6/1x3 + 6/3x5 + 6/5x7 + ...+6/ 97x99
Mình cần gấp
ai giúp mình mình sẽ tick
\(=\frac{6}{2}\left(\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-............+\frac{1}{97}-\frac{1}{99}\right).\\ \)
\(=\frac{6}{2}\left(1-\frac{1}{97}\right)\)
tới đây tính máy là ra luôn
8/1x3 + 8/3x5 + 8/5x7 + ..................... 9/89x91 làm hộ mình nha mình cần gấp
\(\dfrac{8}{1\cdot3}+\dfrac{8}{3\cdot5}+...+\dfrac{8}{89\cdot91}\)
\(=4\left(1-\dfrac{1}{3}+\dfrac{1}{3}-\dfrac{1}{5}+...+\dfrac{1}{89}-\dfrac{1}{91}\right)\)
\(=4\cdot\dfrac{90}{91}=\dfrac{360}{91}\)
các bạn giúp mình với
tính bằng cách thuận tiện nhất
(2/3x5 + 2/5x7 + 2/7x9 +...+ 2/25x27) x 3/4 =?
= (1/3-1/5+1/5-1/7+1/7-1/9+....+1/25-1/27) x 3/4 = (1/3-1/27) x 3/4 = 8/27 x 3/4 = 2/9
k mk nha
\(S=\frac{1}{1x3}-\frac{1}{2x4}+\frac{1}{3x5}-\frac{1}{4x6}+\frac{1}{5x7}-\frac{1}{6x8}+\frac{1}{7x9}-\frac{1}{8x10}\)
giúp mình với mình đang cần gấp.
\(S=\frac{1}{1.3}-\frac{1}{2.4}+\frac{1}{3.5}-\frac{1}{4.6}+\frac{1}{5.7}-\frac{1}{6.8}+\frac{1}{7.9}-\frac{1}{8.10}\)
\(\Rightarrow S=\frac{1}{2}\left(1-\frac{1}{3}-\frac{1}{2}+\frac{1}{4}+\frac{1}{3}-\frac{1}{5}-\frac{1}{4}+\frac{1}{6}+\frac{1}{5}-\frac{1}{7}-\frac{1}{6}+\frac{1}{8}+\frac{1}{7}-\frac{1}{9}-\frac{1}{8}+\frac{1}{10}\right)\)
\(\Rightarrow S=\frac{1}{2}\left(1+\frac{1}{10}\right)\)
\(\Rightarrow S=\frac{1}{2}.\frac{11}{10}\)
\(\Rightarrow S=\frac{11}{20}\)
4/1x3+4/3x5+4/5x7+...+4/2009x2011
2x (1/1x3+1/3x5+1/5x7+..+1/13x15)
Mình Đang Cần GẤP NHÁ
\(2\cdot\left(\frac{1}{1.3}+\frac{1}{3.5}+\frac{1}{5.7}+...+\frac{1}{13.15}\right)\)
Theo quy luật :\(2.\left(\frac{1}{1}-\frac{1}{3}+\frac{1}{3}-\frac{1}{5}+\frac{1}{5}-\frac{1}{7}+...+\frac{1}{13}-\frac{1}{15}\right)\)
\(2.\left(1-\frac{1}{15}\right)\)
\(2.\frac{14}{15}\)
\(\frac{28}{15}\)
Tính giá trị biểu thức S = 4/1x3+16/3x5+36/5x7+...+2500/49x51
cảm ơn các bạn trả lời mình
Ta có:
\(S=\frac{4}{1.3}+\frac{16}{3.5}+\frac{36}{5.7}+........+\frac{2500}{49.51}\)
Rút gọn biểu thức A=-2/1x3-2/3x5-2/5x7-...-2/23x25-2/25x27-1/27 ta được A=