Insert Two Geometric Means Between 40 And 8/25?

Insert two geometric means between 40 and 8/25?

Answer:

40,8 ,8/5 ,8/25

Step-by-step explanation:

40,_,_,8/25

r =  \sqrtn - k{ \frac{n}{k} }  \\ r =  \sqrt4 - 1{ \frac{ (\frac{8}{25} )}{40} }  \\ r =  \sqrt3{ \frac{ (\frac{8}{25} )}{40} }  \\ r =  \frac{1}{5}

Shortcut:

a2=40*(1/5)=8

a3=8*(1/5)=8/5

40,8,8/5,8/25

#JuneChallenge


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