A sequence is given by $u_{n+1}=2u_n-1,u_1=2$ for $n\ge 1$. Find the term of the sequence that has a volume $257$.

Complete this diagram by filling in any missing term in the sequence and in the difference rows.

Complete this diagram by filling in any missing term in the sequence and in the difference rows.

Complete this diagram by filling in any missing term in the sequence and in the difference rows.

Determine whether the sequence is linear, quadratic or neither.

$4,11,18,25,32,\dots$

Determine whether the sequence is linear, quadratic or neither.

$104,97,90,83,76,\dots$

Determine whether the sequence is quadratic, linear or neither.

$91,84,75,64,51,\dots$