Problem 644

Find the three geometric means between 2 and 162.

 

Solution:-

 

t1=2
t5=162
162 =2* r^{5-1}
81 = r^{4}
r = 3
In geometric sequence we have to find the next number by multiply last number to common ratio.
2*3 = 6
6*3 =18
18*3 = 54

So the three geometric means 6, 18, 54

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