Consider the sequence defined by for all integers n 0.

Chapter 5, Problem 17E

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QUESTION:

Consider the sequence defined by \(a_{n} = \frac {2n + (−1)^{n} − 1}{4}\) for all integers \(n \geq 0\). Find an alternative explicit formula for \(a_{n}\) that uses the floor notation.

Text Transcription:

a_n = 2n + (−1)^n − 1 / 4

n geq 0

a_n

Questions & Answers

QUESTION:

Consider the sequence defined by \(a_{n} = \frac {2n + (−1)^{n} − 1}{4}\) for all integers \(n \geq 0\). Find an alternative explicit formula for \(a_{n}\) that uses the floor notation.

Text Transcription:

a_n = 2n + (−1)^n − 1 / 4

n geq 0

a_n

ANSWER:

Solution In this question it is given that for all integers we have to find an explicit formula for that

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