• # question_answer 2) For what value of k will $k+9,2k-1$ and $2k+7$ are the consecutive terms of an A. P.?

 We have, $k+9,\text{ }2k-1$ and $2k+7$ as consecutive terms of an A.P Then, $2\,(2k-1)=k+9+2k+7$ [if a, b and c are in A.P. then $2b=a+c$] $4k-2=3k+16$ $k=18$