A) 25
B) 30
C) 40
D) 75
Correct Answer: A
Solution :
As terms are in AP, so \[2|x-1|=|x|+|x+1|\] for\[x\le -1\Rightarrow 2=-1\] (Not possible) for \[-1<x\le 0\Rightarrow x=\frac{1}{2}\] (Not possible) for \[0<x\le 1\Rightarrow x=\frac{1}{4}\] (possible) for \[x>1\Rightarrow -2=1\] (Not possible) \[\therefore \]sequence is\[\frac{1}{4},\frac{3}{4},\frac{5}{4}\] \[\therefore \]\[=\frac{10}{2}\left[ \frac{2}{4}+9\times \left( \frac{3}{4}-\frac{1}{4} \right) \right]=25\]You need to login to perform this action.
You will be redirected in
3 sec