1+（1*0.5)=1.5 1.5+(1.5*0.5)=2.25 2.25+(2.25*0.5)=3.375.以此类推.求公式!

1+（1*0.5)=1.5 1.5+(1.5*0.5)=2.25 2.25+(2.25*0.5)=3.375.以此类推.求公式!
1+（1*0.5)=1.5 1.5+(1.5*0.5)=2.25 2.25+(2.25*0.5)=3.375.以此类推.求公式!

1+（1*0.5)=1.5 1.5+(1.5*0.5)=2.25 2.25+(2.25*0.5)=3.375.以此类推.求公式!
A(n)表示第n项　　
递推: A(n+1)=1.5*A(n) A(1)=1
表达式: A(n)=(1.5)^(n-1)

(3/2)^0 + ((3/2)^0×1/2) = (3/2)^1
(3/2)^1 + ((3/2)^1×1/2) = (3/2)^2
(3/2)^2 + ((3/2)^2×1/2) = (3/2)^3
...
(3/2)^n + ((3/2)^n×1/2) = (3/2)^(n+1)
...
本质就是(3/2)^n×(1+1/2) = (3/2)^n×(3/2) = (3/2)^(n+1)
其实就是a^n×a = a^(n+1)
只不过a是3/2 ..

a0=1
an=an-1+(an-1*0.5)