Question

If x+1,3x(4x+2)are in ap. find the vaule of x

Answer 1

$\huge{ \underline {\overline{ \mid{ \mathfrak{ \red{ \: SOLUTION \: } \mid}}}}}$

$\bold{ \underline{ \huge{ \: Given :}}} \\ \\ \bold{(x+1 ), 3x \: \: and \: \: (4x+2) \: \: are \: \: in \: \: AP} \\ \\ </p><p></p><p> \bold { \underline{\huge{ \: To \: \: find : }}} \\ \\ \: \: \: \: \: \: \: \: \: \: \bold{ The \: \: value \: \: of \: \: x}$

$\bold{ \underline{ \huge{ \: A.T.Q. \: }}}$

$\bold{ \therefore \: \: 3x - (x + 1) = (4x + 2) - 3x} \\ \\ \bold{ = > 3x - x - 1 =4 x + 2 - 3x} \\ \\ \bold{ = > 2x - 1 = 2 - x} \\ \\ \bold{ = > 2x + x = 2 + 1} \\ \\ \bold{ = > 3x = 3} \\ \\ \bold{ = > x = \frac{3}{3} } \\ \\ \bold{ \therefore \: \: \underline{ \: x = 1 \:} \: }$