100分求一道数学题,Apopulationhasbeengrowingexponentially.In1960,itwas50,000andin1965,itwas100,000.Whatwasthepopulationin1970?我知道答案是200000，

Question

100分求一道数学题,
A population has been growing exponentially.In 1960,it was 50,000 and in 1965,it was
100,000.What was the population in 1970?
我知道答案是200000，

Answer 1

人口数呈指数增长(growing exponentially),也就是说,某年的人口数是前一年的n倍,则可知第五年为起始年份的n^5倍,设1960年为A1,1965年为A2,则1970年为A3,则A3=n^5*A2,A2=n^5*A1
A1=50000,A2=100000,则n^5=2,则A3=2*A2=200000