Introduction to sequences

A sequence has \(n\)th term \(3n^2-4n+1\). In the sequence, there are two consecutive terms that sum to \(581\). Find the bigger one of these two terms?

In the sequence \( \{-45,-36,-27,-18,\dots\}\) each term can be obtained from previous term by adding \(9\). Which of the following numbers is not a term in the sequence?

We are given a sequence \( \left(\sin \left(n\frac{\pi}{2}\right)\right)^{\infty}_{n=1}\). A part of the sequence is displayed in the graph. Complete the sentence: This sequence is ...