Question

数列{an}中，a1=1，对所有的n≥2，都有a1a2a3......an=n²

数列{an}中，a1=1，对所有的n≥2，都有a1a2a3......an=n²,则an= 过程详细点啊~

Answer 1

a1a2a3......an=n² 1试
a1a2a3......an-1=(n-1)² 2试
1试/2试得：an=n²/(n-1)²

Answer 2

a1a2a3......an=n²
a_n=a1a2a3......an/a1a2a3......a(n-1)=n²/(n-1)²,n>=2

Answer 3

an=n^2/(n-1)^2