Sequence And Series Question 262

Question: The geometric mean of two numbers is 6 and their arithmetic mean is 6.5 . The numbers are

[MP PET 1994]

Options:

A) (3, 12)

B) (4, 9)

C) (2, 18)

D) (7, 6)

Show Answer

Answer:

Correct Answer: B

Solution:

According to condition $ =\frac{n(n+1)}{2}[ \frac{n(n+1)}{2}+\frac{2n+1}{3} ] $ and $ a+b=13 $ On solving, we get $ a=4,\ b=9 $ .