Question

2.)Which sequences could be described by the recursive definition LaTeX: a_{n+1}=3\cdot a_n-1a n + 1 = 3 ⋅ a n − 1

3.)Given that the first term is LaTeX: t_1=2t 1 = 2, and the recursive definition is LaTeX: t_{n+1}=3^{\left(t_n\right)}t n + 1 = 3 ( t n ), what would be the 2nd term (LaTeX: t_2t 2).

Answer 1

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Question 1

Consider the sequence:

8, 11, 14, 17, 20, 23, 26, ...

Write a recursive definition.

Question 2

Which sequences could be described by the recursive definition

2, 5, 14, 41, 122...

Question 3

Given that the first term is and the recursive definition is would be the 2nd term