JEE MainMathematicsSequences and SeriesMCQ+4 / −1
Fifth term of a GP is 2, then the product of its 9 terms is
- A256
- B512
- C1024
- Dnone of these
View written solutionFree
Correct answer: B
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Let the 9 terms of the GP be
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The 5th term is given as 2. Since the 5th term is
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We need the product of all 9 terms:
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Add the powers of :
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Rewrite this as: because
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Substitute :
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Therefore, the product of the 9 terms is
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Option check:
- A: ❌
- B: ✅
- C: ❌
- D: none of these ❌
Hence, the correct option is B.
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