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Which sequences could be described by the recursive definition LaTeX: a_{n+1}=3\cdot a_n-1

Which sequences could be described by the recursive definition LaTeX: a_{n+1}=3\cdot-example-1
User Plue
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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

Which sequences could be described by the recursive definition LaTeX: a_{n+1}=3\cdot-example-1
Which sequences could be described by the recursive definition LaTeX: a_{n+1}=3\cdot-example-2
Which sequences could be described by the recursive definition LaTeX: a_{n+1}=3\cdot-example-3
User Jool
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