Question 58

Mathematics Sequence And Series Hard

The four geometric means between 2 and 64 are

(A) \(\frac{1}{4},\frac{1}{8},\frac{1}{16},\frac{1}{32}\)
(B) \(4,8,16,32\)
(C) \(4\sqrt[]{2},8,16\sqrt[]{2},32\)
(D) None of the above
✓ Correct Answer: Option B Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Including the 4 geometric means, there are 6 terms in the GP, where the first term is 2 and the last term is 64. \[ \Rightarrow 2(r^5) = 64 \] or \[ r = 2 \] The four geometric means are 4, 8, 16, 32.

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