18. By induction, we can prove that, \forall n \in \{1, 2, 3, ...\}, $1 + 3 + 9 + 27 + ... + 3^n = \frac{1 - 3^{n+1}}{2}$ (a) True (b) False
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When n = 1, the left side of the equation becomes 1, and the right side becomes 2. So the equation holds true for n = 1. Now, let's assume that the equation holds true for some arbitrary value of n, let's say k. This means that: 1 + 3 + 9 + 27 + ... + 3k = Show more…
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