Exercise 1.
Find the next two terms in \((a_n)_{n\ge 0}\) beginning \(3, 5, 11, 21, 43, 85\ldots\text{.}\) Then give a recursive definition for the sequence. Finally, use the characteristic root technique to find a closed formula for the sequence.
Find the next two terms in \((a_n)_{n\ge 0}\) beginning \(3, 5, 11, 21, 43, 85\ldots\text{.}\) Then give a recursive definition for the sequence. Finally, use the characteristic root technique to find a closed formula for the sequence.