+ 12 22 12 (b) 1+ + 1 + 2 1 2k-1 k = 1,2. 2k

Q: * For each integer n, let Cn = {n²,n³, nª}. How many elements are in each of C-2, C-1, Co, and C3?…

A: The set always contains the distinct elements. Given Cn = n2 , n3 , n4 Consider C-2 = (-2)2 , (-2)3…

Q: Use Mathematical induction to show that H sub(2^n) is less than or equal to 1 + n.

A:

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A: ways to distribute the 6 items among the 4 boxes without any restrictions. This is equivalent to…

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Q: How many different rearrangements are there of the letters in the word "BUSINESS"?

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Q: Mathematical induction. Use mathematical induction to prove that 2^n > n^2 for any integer n > 4.

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Q: Prove the following using mathematical induction: For all natural numbers n, 3^(n+2) > (n + 3)^2.

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Q: How many possible ways can the top 5 finishers come in during a race with 24 racers? Each place…

A: This is a permutation problem.   Out of the 24, there will be 5 racers in the top 5.

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A: To Prove: Any amount of postage greater than or equal to 2 cents can be built using only 2 cent and…

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A: