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.)

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.)

Linear Algebra: A Modern Introduction

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 30EQ

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