Consider the following short procedure: List the first four printed values of S, and prove by induction

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Consider the following short procedure:

Step 1: Step 2: Step 3: Let S = 1 Print S Replace S by S + 2S + 1 and go back to step 2

List the first four printed values of S, and prove by induction that S = n2 the nth time the procedure reaches step 2.

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