Question

If p_1,p+3,3p_1are in ap then pis equal to

Answer 1

In Arithmetic sequence ,


2 × middle term = sum of remaining 2 terms




Here,


= > 2( p + 3 ) = ( p - 1 ) + ( 3p - 1 )

= > 2p + 6 = p - 1 + 3p - 1

= > 2p + 6 = p + 3p - 1 - 1

= > 2p + 6 = 4p - 2

= > 6 + 2 = 4p - 2p

= > 8 = 2p

$= \: > \frac{8}{2} = p$


= > 4 = p





$\boxed{ \boxed{ \boxed{ \textbf{ \underline{Hence, the value of of variable p is 4 }}}}}$