A5 = A2 *q^(3)
q^3 =1/8
q = 1/2
A1=A2/q = 4
An = A1q^(n-1) = 2^(3-n)
设Bn = A(n-1)An,则:Bn = 2^(7-2n)=2^5 * (1/4)^(n-1)
这是首项为2^5,公比为1/4的等比数列
所以:
A1A2+A3A4+...+An-1An
=128*[1-(1/4)^n]/3
A5 = A2 *q^(3)
q^3 =1/8
q = 1/2
A1=A2/q = 4
An = A1q^(n-1) = 2^(3-n)
设Bn = A(n-1)An,则:Bn = 2^(7-2n)=2^5 * (1/4)^(n-1)
这是首项为2^5,公比为1/4的等比数列
所以:
A1A2+A3A4+...+An-1An
=128*[1-(1/4)^n]/3