Christian201287id
Answered

There are four geometric means between 3 and 729. .find the fourth terms.

Sagot :

Jers15id
[tex]a_{1}=3[/tex]
[tex]a_{6}=729[/tex]
[tex]a_{6}=3r^6[/tex]

Substitute
[tex]3r^6=729[/tex]
Divide both sides by 3
[tex]r^6=243[/tex]
6th root:
[tex]r=2.49[/tex]

a2=18.6003
a3=46.50075
a4=116.251875
a5=290.6296875
a6=732

Hope this helps =)