Let me ask you a calculation question, 1: Calculate, (1 + 2 / 1) (1 + 2 / 2) (1 + 2 / 4) (1 + 2 / 8) + 2 / 15

Let me ask you a calculation question, 1: Calculate, (1 + 2 / 1) (1 + 2 / 2) (1 + 2 / 4) (1 + 2 / 8) + 2 / 15


Original formula = (1-1 / 2) (1 + 1 / 2) (1 + 1 / 2 ^ 2) (1 + 1 / 2 ^ 4) (1 + 1 / 2 ^ 8) / (1-1 / 2) + 1 / 2 ^ 15
=[1^2-(1/2)^2](1+1/2^2)(1+1/2^4)(1+1/2^8)/(1/2)+1/2^15
=2(1-1/2^2)(1+1/2^2)(1+1/2^4)(1+1/2^8)+1/2^15
=2*(1-1/2^4)(1+1/2^4)(1+1/2^8)+1/2^15
=2*(1-1/2^8)(1+1/2^8)+1/2^15
=2*(1-1/2^16)+1/2^15
=2-2/2^16+1/2^15
=2-1/2^15+1/2^15
=2



Xiao Ming does half of the total on the first day. He does the rest on the second day. He does all the five problems on the third day. How much did Xiao Ming do
I didn't learn xy and grades.


5/(1-1/2-1/4)=20



How to solve a math application problem
After the program reported the time of "poison capsule", the sales of all major pharmacies across the country were affected to varying degrees. In early April, the price of a certain drug was greatly reduced. After the reduction, the price of each box was two-thirds of the original price. After the reduction, the price of drugs bought with 60 yuan could be bought two more boxes. In mid April, various departments strengthened the supervision of capsule production, so the drug price began to rise at the end of April, After two months, the drug was raised to 14.4 yuan per box
Question: (1) what is the original price of the drug? What is the price after the reduction
(2) What is the average monthly growth rate of drug prices in May and June?


(1) Suppose that the original price is x yuan, and the price after reduction is 2 / 3x yuan. It is known that the drug originally bought with 60 yuan can buy 2 more boxes after reduction, and the formula is 60 / 2 / 3x-60 / x = 2, then 90-60 = 2x, and the calculation is x = 15 yuan. After reduction, 2 / 3x = 10 yuan. Checking 60 yuan can buy 4 more boxes when the original price is 15 yuan, and after reduction, 60 yuan can buy 10 yuan per box