question_answer

For what value of k will \[k+9,2k-1\] and \[2k+7\] are the consecutive terms of an A. P.?

Answer:

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 \[2b=a+c\]]

\[4k-2=3k+16\]

\[k=18\]