Exercise 7.
Consider the sequence given recursively by \(a_1 = 4\text{,}\) \(a_2 = 6\) and \(a_n = a_{n-1} + a_{n-2}\text{.}\)
Write out the first 6 terms of the sequence.
Could the closed formula for \(a_n\) be a polynomial? Explain.
Consider the sequence given recursively by \(a_1 = 4\text{,}\) \(a_2 = 6\) and \(a_n = a_{n-1} + a_{n-2}\text{.}\)
Write out the first 6 terms of the sequence.
Could the closed formula for \(a_n\) be a polynomial? Explain.