Answers

2016-07-05T00:14:24+08:00
√(A₁ x A₂) = 6
√(A₂ x A₃) = 24
*Transform both equations so that A₂ will be left on one side.
*Square both sides then divide by 
A₁/A₃
 A₂= 36/A₁ 
 A₂= 576/A₃
therefore,
36/A₁ = 576/A₃
*Going back to the fomula for finding An
A₃=A₁r²
*Substitute
36/A₁ = 576/A₁r²
*Multiply both sides by A₁r²
36r
² = 576
r² = 16
r=+/- 4
*Since al terms are positive then tha common ratio is 4.
*The geometric mean of the two given numbers would be the second term which is 12. by that, you can tel what are the three terms. 
3, 12, 48
2 4 2