Question-15

sequences
logical thinking
aptitude

In the sequence 6, 9, 14, x, 30, 41, a possible value of x is

One possibility is to have the successive difference between be an arithmetic progression with first term \(\displaystyle 3\) and common difference \(\displaystyle 2\):

\[ \begin{aligned} 9-6 & =3 & \\ 14-9 & =5 & \\ x-14 & =7 & \Longrightarrow x=21\\ 30-21 & =9 & \\ 41-30 & =11 & \end{aligned} \]