giúp mình
B=2/1.6+2/6.11+2/11.16+.......+2/2021.2026
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\(\frac{5^2}{1.6}+\frac{5^2}{6.11}+...+\frac{5^2}{1001.1006}\)
\(=5\left(\frac{5}{1.6}+\frac{5}{6.11}+...+\frac{5}{1001.1006}\right)\)
\(=5\left(1-\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+...+\frac{1}{1001}-\frac{1}{1006}\right)\)
\(=5\left(1-\frac{1}{1006}\right)\)
\(=5.\frac{1005}{1006}\)
\(=\frac{5025}{1006}\)
\(\frac{5^2}{1.6}+\frac{5^2}{6.11}+...+\frac{5^2}{1001.1006}\)
\(=5.\left(\frac{5}{1.6}+\frac{5}{6.11}+\frac{5}{11.16}+...+\frac{5}{1001.1006}\right)\)
\(=5.\left(1-\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+\frac{1}{11}-\frac{1}{16}+...+\frac{1}{1001}-\frac{1}{1006}\right)\)
\(=5.\left(1-\frac{1}{1006}\right)\)
\(=\frac{5.1005}{1006}=\frac{5025}{1006}\)
Ủng hộ mk nha !!! ^_^
E=\(\frac{10}{1\cdot6}\) +\(\frac{10}{6\cdot11}\) +\(\frac{10}{11\cdot16}\) +\(\frac{10}{16\cdot21}\) +\(\frac{10}{21\cdot26}\) +\(\frac{10}{26\cdot31}\) = 5*(1-\(\frac{1}{31}\) ) =5*\(\frac{30}{31}\) =\(\frac{150}{31}\)
C=5(5/1.6+5/6.11+...+5/26.31)
C=5(1-1/6+1/6-1/11+...+1/26-1/31)
C=5(1-1/31)
C=5.30/31
C=150/31
CHÚC BẠN HỌC TỐT!!!
S:5=\(\frac{5}{1.6}+\frac{5}{6.11}+...+\frac{5}{21.26}\)
S:5=\(\frac{6-1}{1.6}+\frac{11-6}{6.11}+...+\frac{26-21}{21.26}\)
S:5=\(\frac{6}{1.6}-\frac{1}{1.6}+\frac{11}{6.11}-\frac{6}{6.11}+...+\frac{26}{21.26}-\frac{21}{21.26}\)
S:5=1-\(\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+....+\frac{1}{21}-\frac{1}{26}\)
S:5=1-\(\frac{1}{26}\)
S:5=\(\frac{25}{26}\)
S=\(\frac{25}{26}.5\)
S=\(\frac{125}{26}\)
Vì: 52=5.5
= \(5.\left(\frac{5}{1.6}+\frac{5}{6.11}+\frac{5}{11.16}+...+\frac{5}{26.31}\right)\)
= \(5.\left(\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+\frac{1}{11}-\frac{1}{16}+...+\frac{1}{26}-\frac{1}{31}\right)\)
= \(5.\left(1-\frac{1}{31}\right)\)
= \(5.\frac{30}{31}\)
= \(\frac{150}{31}\)
\(B=\frac{5^2}{1.6}+\frac{5^2}{6.11}+\frac{5^2}{11.16}+...+\frac{5^2}{26.31}\)
\(B=5\left(\frac{5}{1.6}+\frac{5}{6.11}+\frac{5}{11.16}+...+\frac{5}{26.31}\right)\)
\(B=5\left(1-\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+\frac{1}{11}-\frac{1}{16}+...+\frac{1}{26}-\frac{1}{31}\right)\)
\(B=5\left(1-\frac{1}{31}\right)\)(TỐI GIẢN CÁC PHÂN SỐ GIỐNG NHAU)
\(B=5.\frac{30}{31}\)
\(B=\frac{150}{31}\)
Q=5(5/1x6+5/6x11+5/11x16+....+5/26x31)
Q=5(1/1-1/6+1/6-1/11+1/11-1/16+....+1/26-1/31)
Q=5(1/1-1/31)
Q=5x30/31
Q=150/31
\(Q=\frac{25}{1.6}+\frac{25}{6.11}+\frac{25}{11.16}+......+\frac{25}{26.31}.\)
\(Q=5\left(1-\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+\frac{1}{11}-\frac{1}{16}+.....+\frac{1}{26}-\frac{1}{31}\right)\)
\(Q=5\left(1-\frac{1}{31}\right)\)
CÒN ĐÔU PN TỰ LÀM NHA
Ta có :
\(\frac{5^2}{1.6}+\frac{5^2}{6.11}+\frac{5^2}{11.16}+...+\frac{5^2}{46.51}\)
\(=\)\(5\left(\frac{5}{1.6}+\frac{5}{6.11}+\frac{5}{11.16}+...+\frac{5}{46.51}\right)\)
\(=\)\(5\left(\frac{1}{1}-\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+\frac{1}{11}-\frac{1}{16}+...+\frac{1}{46}-\frac{1}{51}\right)\)
\(=\)\(5\left(1-\frac{1}{51}\right)\)
\(=\)\(5.\frac{50}{51}\)
\(=\)\(\frac{250}{51}\)
Chúc bạn học tốt ~
= 2/5 x (1/1 -1/6) + 2/5 x (1/6 - 1/11) + 2/5 x (1/11-1/16)+....+2/5 x (1/2021 - 1/2026)
= 2/5 x( 1/1 - 1/6 + 1/6 - 1/11+1/11-1/16+....+1/2021 - 1/2026)
= 2/5 x ( 1/1- 1/2026 )
=2/5 x ( 2026/2026 - 1/2026 )
=2/5 x 2025/2026
= 4050/10130 = 1013/405
thấy đúng thì cho mình ( đúng dưới câu trả lời nha )