Consider the sequence \(5, 9, 13, 17, 21, \ldots\) with \(a_1 = 5\)
Give a recursive definition for the sequence.
Give a closed formula for the \(n\)th term of the sequence.
Is \(2013\) a term in the sequence? Explain.
How many terms does the sequence \(5, 9, 13, 17, 21, \ldots, 533\) have?
Find the sum: \(5 + 9 + 13 + 17 + 21 + \cdots + 533\text{.}\) Show your work.
Use what you found above to find \(b_n\text{,}\) the \(n^{th}\) term of \(1, 6, 15, 28, 45, \ldots\text{,}\) where \(b_0 = 1\)