i. \( \quad d=u_{2}-u_{1}=u_{3}-u_{2} \) \( \quad d=5-3=7-5=2 \) The common difference is \( d= \)

It looks like you've set up a sequence where you've calculated two differences but ended up with two conflicting values for \(d\). The common difference \(d\) in an arithmetic sequence should remain consistent. To clarify, for a sequence to truly be arithmetic, every consecutive difference must equal the common difference. If \(u_1 = 3\), \(u_2 = 5\), and \(u_3 = 7\), then indeed \(d = 2\). Stick with that, and you'll be on the right track! A great way to practice sequences is to create your own! Start with an initial number and a chosen common difference, then generate the next few terms. This can help cement your understanding. For instance, if you start at 3 and add 2 each time, your sequence would look like 3, 5, 7, 9, and so on. Play around with different starting points and common differences to see how the sequences evolve!