已知各项均为正数的等比数列中,a1a2a3=5,a7a8a9=10,则a4a5a6=多少

2025-04-30 13:39:04
推荐回答(3个)
回答1:

因为an是等比数列,所以a4a5a6/a1a2a3=a7a8a9/a4a5a6
所以a4a5a6*a4a5a6=a1a2a3*a7a8a9=5*10=50
a4a5a6=√50 = 5√2

回答2:

(a4a5a6)^2=a1a2a3X(a7a8a9)=5X10=50,所a4a5a9=5V2

回答3:

5倍根号2
a1a2a3a7a8a9=(a4a5a6)^2