Math  /  Algebra

QuestionDetermine the formula for ana_{n} using the sequence a0,a1,a2,a_{0}, a_{1}, a_{2}, \ldots given as 2,3,4,5,6,-2, 3, -4, 5, -6, \ldots.

Studdy Solution
We can combine the expressions for a2na_{2n} and a2n+a_{2n+} into a single expression for ana_{n} using the piecewise function.
an={2nif n is even2n+if n is odda_{n} =\begin{cases}-2n & \text{if } n \text{ is even} \\ 2n + & \text{if } n \text{ is odd} \end{cases}This is the expression for ana_{n} based on the values of a0,a,a2,a_{0}, a_{}, a_{2}, \ldots 2,3,4,,6,-2,3,-4,,-6, \ldots

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