induction 2 1 1 2 2 1 2 3 1 2 n 1 2 n ...

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induction 2 * 1 - 1 + 2 * 2 - 1 + 2 * 3 - 1 + . . . + 2 *

induction

2 * 1 - 1 + 2 * 2 - 1 + 2 * 3 - 1 + . . . + 2 *

- 1 = 2^

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