Sequence And Series Question 631
Question: If $ 2x,\ x+8,\ 3x+1 $ are in A.P., then the value of $ x $ will be
[MP PET 1984]
Options:
A) 3
B) 7
C) 5
D) - 2
Show Answer
Answer:
Correct Answer: C
Solution:
$ 2x,\ x+8,\ 3x+1 $  are in A.P. Therefore  $ (x+8)=\frac{(2x)+(3x+1)}{2}=\frac{5x+1}{2} $
$ \Rightarrow  $   $ 2x+16=5x+1 $  
$ \Rightarrow  $   $ 3x=15 $
$ \Rightarrow  $   $ x=5 $ .
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