LetA :=32 − (−1)n2n : n ∈ N.Find inf A and sup A. Justifications are required
Question
Solution 1
The sequence defined by A is a sequence of real numbers, where each term is given by 32 - (-1)^n * 2n.
First, let's consider the two cases for n:
When n is even, (-1)^n = 1, so the nth term of the sequence is 32 - 2n.
When n is odd, (-1)^n = -1, so the nth term of the sequence is 32 + 2n.
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