Sequence And Series Question 174
Question: If am denotes the mth term of an A.P. then am =
Options:
A) $ \frac{2}{{a_{m+k}}+{a_{m-k}}} $
B) $ \frac{{a_{m+k}}-{a_{m-k}}}{2} $
C) $ \frac{{a_{m+k}}+{a_{m-k}}}{2} $
D) None of these
Show Answer
Answer:
Correct Answer: C
Solution:
$ {a_{m+k}}=A+(m+k-1),D $ and $ {a_{m-k}}=A+(m-k-1),D $ Adding both equations, we get $ \frac{{a_{m+k}}+{a_{m-k}}}{2}=A+(m-1),D=a_{m} $ .
BETA
