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In a G. P, the product of the first three terms 27/8. The middle term is
  • a)
    3/2
  • b)
    2/3
  • c)
    2/5
  • d)
    none of these
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
In a G. P, the product of the first three terms 27/8. The middle term ...
Given, the product of first three terms in a G.P. is 27/8.

Let the three terms of the G.P. be a/r, a, ar.

Then, the product of the first three terms is (a/r)×a×ar = a³.

So, we have a³ = 27/8.

Taking cube root on both sides, we get a = 3/2.

Therefore, the middle term of the G.P. is a = 3/2.

Hence, the correct answer is option (A) 3/2.
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Community Answer
In a G. P, the product of the first three terms 27/8. The middle term ...
A/r x a x ar =27/8.

a × a × a = 27/8
3
a. =. 27/8

a = 2/3

and a is the middle term
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In a G. P, the product of the first three terms 27/8. The middle term isa)3/2b)2/3c)2/5d)none of theseCorrect answer is option 'A'. Can you explain this answer?
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