Question

If (2x - 1), 7, 3x are in A.P., then what is the value of x ?

(A) 3

(B) 4

(C) 1

(D) 5

Answer 1

Correct option is (A) 3

\((2 x-1), 7,3 x\) are in A.P.

\(\Rightarrow b-a =c-b\)

\(7-(2 x-1) =3 x-7\)

\(7-2 x+1 =3 x-7 \)

\(8-2 x =3 x-7\)

\(3 x+2 x =8+7\)

\(5 x =15\)

\(x =\frac{15}{5}=3\)