The two geometric means between the number 1 and 64 are, 1 and 64, 4 and 16, 2 and 16, 8 and 16

Let 1 , a , b , 64 ⇒ a 2 = b and b 2 = 64 a ⇒ a = 4 and b = 16

The two geometric means between the number 1 and 64 are

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The two geometric means between the number 1 and 64 are

MathematicsSequences and SeriesJEE Main

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2278 Upvotes Verified Answer

The correct answer is: $4$ and $16$

Let $1, a, b, 64 \Rightarrow a^2=b$ and $b^2=64 a$
$\Rightarrow a=4$ and $b=16$

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