Problem 690

Write the geometric sequence that has four geometric means between 1 and 16,807.

 

Solution:-

 

an = a1 * r^{n -1}

Where an is the nth term, a1 is the first term and r is common ratio.

a1= 1 and a6 = 16807

16807 = 1*r^(6-1)

r = 7

geometric means between 1 and 16,807.

7,49,343,2401

 

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