B= 5/3 .(1-1/4+1/4-1/7+........+1/100-1/103 )
B= 5/3 . (1-1/103 )
B=5/3 .102 /103 =170 /103
Đ lm tương tự nha.......
\(B=\frac{5}{1.4}+\frac{5}{4.7}+...+\frac{5}{100.103}\)
\(3B=5\left(\frac{1}{1.4}+\frac{1}{4.7}+...+\frac{1}{100.103}\right)\)
\(3B=5\left(1-\frac{1}{4}+\frac{1}{4}-\frac{1}{7}+...+\frac{1}{100}-\frac{1}{103}\right)\)
\(3B=5\left(1-\frac{1}{103}\right)\)
\(3B=5.\frac{102}{103}\)
\(3B=\frac{510}{103}\)
\(\Rightarrow B=\frac{170}{103}\)
\(D=\frac{5^2}{1.6}+\frac{5^2}{6.11}+...+\frac{5^2}{36.41}\)
\(\Rightarrow D=5\left(\frac{1}{1.6}+\frac{1}{6.11}+...+\frac{1}{36.41}\right)\)
\(D=5\left(1-\frac{1}{6}+\frac{1}{6}-\frac{1}{11}+...+\frac{1}{36}-\frac{1}{41}\right)\)
\(D=5\left(1-\frac{1}{41}\right)\)
\(D=5.\frac{40}{41}\)
\(D=\frac{200}{41}\)
