Question

If 1 , x , 7 are in Arithmetic Progression then the value of "x" is

Answer 1

$\sf\large\bold{\underline{\pink{Solution}}}$

$\sf\large\bold\orange{\fbox{1 , x , 7 }}$ ⇒ A.P

Since , Given series is In A.P So, Common difference will be equal.

i.e $\sf\large\bold\blue{a_{2} - a_{1} = a_{3} - a _{2}}$

$\sf\large{x - 1 = 7 - x}$

$\sf\large{2x = 7 + 1}$

$\sf\large{2x = 8}$

$\sf\large\bold\green{\underline{\fbox{x = 4}}}$