Given a number pattern: $2,2,4,6,10,x, 42, \cdots$ Evaluate the value of $x$.
I first thought this pattern is a Fibonacci type. The key answer is $x = 16$. But the $7$th term, that is $42$, doesn't obey the pattern rule of Fibonacci. It should be $26$. \ It can be observed also that $16 + (10 + 16) = 42$.
This problem comes from SEAMO 2017 Middle Primary.
For the sequence $2,2,4,6,10,16,x,42,....$ I am providing answer.
{$a_i$} = $2,2,4,6,10,16,x,42,.....$
$a_i=a_{i-1}+a_{i-2}$. From this you'll get $x=26$