# Answer to Question #20561 in Calculus for kira

Question #20561

Insert two geometric means between 4 and 500.

a1=4

a2=

a3=

a=500

a1=4

a2=

a3=

a=500

Expert's answer

let q is parameter

then a1=4, a2=4q, a3=4q^2, a4=4q^3=500

we have that 4q^3=500 q^3=125 q=5

so a2=4*5=20, a3=4*25=100

then a1=4, a2=4q, a3=4q^2, a4=4q^3=500

we have that 4q^3=500 q^3=125 q=5

so a2=4*5=20, a3=4*25=100

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