For this Big Problem, we're going to investigate induction in different settings, and think about when it does and doesn't work. (1) The first few parts are about building sets of sets of sets... of sets: The first set {a}. The second set is S₂ P(S) {0, {a}}. What is the third set is S₁ S3 = P(S₂) = P(P(S₁))? What is S3? = (2) What is S4? (3) What do you think is the formula for Sn? (You might need to use some ... in your formula.)

Q: REWRITE

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