Question

[Nguyễn Xuân Phương Uyên]

30/4*7+30/7*10+30/10*13+30/13*16+....+30/37*40

Answer 1

[Thầy Hùng Olm]

\(A=\dfrac{30}{4x7}+\dfrac{30}{7x10}+\dfrac{30}{10x13}+...+\dfrac{30}{37x40}\)

\(=10x\left(\dfrac{1}{4}-\dfrac{1}{7}\right)+10x\left(\dfrac{1}{7}-\dfrac{1}{10}\right)+...+10x\left(\dfrac{1}{37}-\dfrac{1}{40}\right)\)

=10x\(\left(\dfrac{1}{4}-\dfrac{1}{40}\right)=\dfrac{10x9}{10x4}=\dfrac{9}{4}\)