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if A is the arithmetic mean and G1, G2 be two geometric means between any two numbers, then is equal to
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Correct option is A
Let A be the arithmetic mean between two numbers a and b, Again, let G1,andG2, be the two geometric mean between two numbers a and b. ∴ A=a+b2 and G1=ar,G2=ar2where r=ba12+1=ba1/3 ……(i)∴ G12G2+G22G1=a2r2ar2+a2r4ar=a+ar3=a+aba [∵ from Eq. (i) ]=a+b=2A ∵A=a+b2Similar Questions
Geometric mean of 10 observations is 8. If geometric mean of first six observations is 4, then geometric mean of last four observations is
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