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If P(n) is the statement n^2> 100" ...

If P`(n)` is the statement `n^2> 100"` , prove that whenever `P(r)` is true, `P(r+1)` is also true.

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To prove that if \( P(r) \) is true, then \( P(r+1) \) is also true, we will follow these steps: ### Step 1: Understand the statement \( P(n) \) The statement \( P(n) \) is defined as \( n^2 > 100 \). We need to show that if \( P(r) \) is true, then \( P(r+1) \) is also true. ### Step 2: Assume \( P(r) \) is true Assume that \( P(r) \) is true. This means: \[ ...
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