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 $ .