TITLE: Finding pattern- $6$ $11$ $25$
QUESTION [2 upvotes]: Finding pattern$$
        \begin{matrix}
        6 & 11 & (25) \\
        8 & 6 & (16) \\
        12 & 5 & (?) \\
        \end{matrix}
$$ Options are : $10/12/14/16$

My attempt: $11-6=5, 5^2=25$. But it's not valid for next. $6^2-11=25$, but not valid for next.

REPLY [3 votes]: We can use $$6x+11y=25\ \ \  \ (1)$$
$$8x+6y=16\ \ \ \  (2)$$
and $$12x+5y=c$$
Solve  $(1),(2)$ for $x,y$
{"set_name": "stack_exchange", "score": 2, "question_id": 640082}