Sequence And Series Question 423

Question: The sum of 3 numbers in geometric progression is 38 and their product is 1728. The middle number is

[MP PET 1994]

Options:

A) 12

B) 8

C) 18

D) 6

Show Answer

Answer:

Correct Answer: A

Solution:

Let the three numbers be $ \frac{a}{r},\ a $ and $ ar $ , then $ a^{3}=1728 $
$ \Rightarrow $ $ a=12 $ Hence the middle term is 12.