What will be the value of x if 8x + 4 , 6x – 2 and 2x + 7 are in ari

1.	What will be the value of x if 8x + 4 , 6x – 2 and 2x + 7 are in arithmetic progression?A) -15/2B) 15/2C) 15 D) -15
Answer» Correct option is (B) 15/2 Given that 8x+4, 6x – 2 and 2x+7 are in A.P. \(\therefore2(6x-2)=8x+4+2x+7\) \((\because\) If a, b & c are in A.P. then 2b = a+c) \(\Rightarrow12x-4=10x+11\) \(\Rightarrow12x-10x=11+4=15\) \(\Rightarrow2x=15\) \(\Rightarrow\) x = \(\frac{15}{2}\) Correct option is B) 15/2

What will be the value of x if 8x + 4 , 6x – 2 and 2x + 7 are in arithmetic progression?A) -15/2B) 15/2C) 15 D) -15

Answer»

Correct option is (B) 15/2

Given that 8x+4, 6x – 2 and 2x+7 are in A.P.

\(\therefore2(6x-2)=8x+4+2x+7\) \((\because\) If a, b & c are in A.P. then 2b = a+c)

\(\Rightarrow12x-4=10x+11\)

\(\Rightarrow12x-10x=11+4=15\)

\(\Rightarrow2x=15\)

\(\Rightarrow\) x = \(\frac{15}{2}\)

Correct option is B) 15/2