5. Let (S2, A, Pr) be an abstract probability space, and let A, B be events. Prove that Pr(B|A) + Pr(B|A) = 1. 6. Consider the plaintext meccago M

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Q: 1³ + 2³ + 3³+. .. +n³ = © (n*). O True O False

A: Solution The LHS of the given series denote the sum of the cube of first n natural numbers.

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A: Answer is following.

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Q: Part III: Prove the following 5. Prove that 32.753215321... is a rational number.

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A: The principle of mathematical induction is a technique or method that is used to prove the statement…

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A: 1. We see,        F9 = 34    [Fibonacci series : 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,. . . . . ]…

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A: We can answer the question as below

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A: Introduction: In mathematics, a recurrence relation is a significant connection that expresses the…