COMEDK · Maths · 5. Sequences and Series
\((32) \times(32)^{\dfrac{1}{6}} \times(32)^{\dfrac{1}{36}} \times-----\infty \text { is equal to }\)
- A 64
- B 16
- C 32
- D 0
Answer & Solution
Correct Answer
(A) 64
Step-by-step Solution
Detailed explanation
Let the given expression be \(S = (32) \times (32)^{\dfrac{1}{6}} \times (32)^{\dfrac{1}{36}} \times \dots \infty\). The expression can be written as \(S = (32)^{1 + \dfrac{1}{6} + \dfrac{1}{36} + \dots \infty}\). The exponent is an infinite geometric series with first term…
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