Sequence & Series Arithmetic Progression Question 84
Question: The sum of $ n $ arithmetic means between $ a $ and $ b $ , is [RPET 1986]
Options:
A) $ \frac{n(a+b)}{2} $
B) $ n(a+b) $
C) $ \frac{(n+1)(a+b)}{2} $
D) $ (n+1)(a+b) $
Answer:
Correct Answer: A
Solution:
The sum of $ n $ arithmetic mean between $ a $ and $ b $ $ =\frac{n}{2}(a+b) $ . Aliter: As we know $ A_1+A_2+……+A_{n}=nA $ , where $ a=A{R^{p-1}},\ b=A{R^{q-1}} $ .
BETA
