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Question: If \(2 x , x + 8,3 x + 1\) are in A.P., then the value of \(x\) will be....

If 2x,x+8,3x+12 x , x + 8,3 x + 1 are in A.P., then the value of xx will be.

A

3

B

7

C

5

D

– 2

Answer

5

Explanation

Solution

2x,x+8,3x+12 x , x + 8,3 x + 1 are in A.P.)

Therefore (x+8)=(2x)+(3x+1)2=5x+12( x + 8 ) = \frac { ( 2 x ) + ( 3 x + 1 ) } { 2 } = \frac { 5 x + 1 } { 2 }

\Rightarrow 2x+16=5x+12 x + 16 = 5 x + 1 \Rightarrow 3x=153 x = 15 \Rightarrow x=5x = 5.