设{an}是由正数组成的等比数列,公比q=2,且a1a2a2...a30=2^30,求a3a6a9...a30

2025-02-27 12:36:29
推荐回答(2个)
回答1:

a1a2a2...a30
=a1^30*d^((1+30)*30/2)
=a1^30*d^465
=2^30

a3a6a9...a30

=a1^10*d^(2+5+8+...+29)

=a1^10*d^((2+29)*10/2)

=a1^10*d^155

=(a1^30*d^465)^(1/3)

=(2^30)^(1/3)

=2^10

=1024

回答2:

1