an is equal to 2n +1
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We want to prove that ∑i=1n(2i−1)=n2. For this, we could do a proof by induction. The general premise of a proof by induction is that we prove that it is true for one value, called the base case or basis (typically n=1), then we prove that it is is true for any number plus one. Thus, since we have proved that it is true for n=1, then we know that it is true for n=2, so we know that it is true for n=3, and so on.
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