Let x be the arithmetic mean and y, z be the two geometric means | Filo
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Class 11

Math

Algebra

Sequences and Series

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Let be the arithmetic mean and be the two geometric means between any two positive numbers. Then = __________.

Solution:
Given that is the A.M. between and and , and are the G.M. between and where and are positive. Then are in A.P. So, 


are in G.P. So,

and , where . Also, , Now,





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