The inductive step of an inductive proof shows that for k > 4, if 2k > 3k, then 2k+1 > 3 (k + 1). Which step of the proof uses the fact that kN4> 1? 2k+1 > 2.2* (Step 1) 2 2.3k (Step 2) 2 3k + 3k (Step 3) 2 3k + 3 (Step 4) > 3(k + 1) (Step 5) Step 2 Step 3 O Step 4 Step 5

Q: Convert the following formula into CNF. Write your answers in set notation, using ! as nega- tion.…

A: According to the Bartleby guidelines,I solve only first three subparts.

Q: Prove the following: (a) If a (b) If a b(modn) and c€ Z then cacb(modn). b(modn) and e=d(modn) then…

A: As per the guidelines I am answering only one question with all its parts.Remember :

Q: (n-1)! Use Euler's theorem to prove that if n is an odd integer, then n divides 2 -1.

A: Using Euler theorem to prove it.

Q: 2 Find 22 + 42 + ... + (2n)². Hence find 12 – 22 + 32 – 42 + ... - (2n), simplifying your answer.

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A: Given that, the result statement is "For every integer , this is true "Now the proof for this result…

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Q: (Зп+5 Find infimum of A |n E N} n+9

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Q: NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to…

A: Solution is given below:-

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A: Answer of Question #11 is not match with given option.please check it carefully...

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Q: Prove Vn € N, 1 1 + 1 2 + 1 3 + + 11 2n - 1 + 2n ≥1+ n 2

A: Let's prove the given inequality step by step:Base Case (n=1):11≥1+12This is true, as 11=1 and…

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Q: $(7n) = (n) if 7 divides n and 7. 70(n) if 7 divides n and 60(n) if 7 does not divide n (n) if 7…

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Q: expand each expression using the Binomial Theorem

A: Given: 19.(x-2)6

Q: using

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A: Given series is ∑k=1∞1kk+2k+4

Q: 13. For how many three digit numbers (100 to 999) is the sum of the digits even? (For example, 343…

A: Given  data :  For how many three digit numbers (100 to 999)is the sum of the digits even? (For…

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Q: how do you proof part a with a formal proof

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A: N = 37!19! 15!37! consist numbers that are divided by 11→11, 22 , 33→319! consist numbers that are…

Q: 5 =5 Hence, 6"-1 is divisible by 5 is (10.). for n=1 Part 2: Assume that 6" - 1 is divisible by 5…

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Q: (I + u)u] 2 induction prove that 13 + 23 + ...+ n³ = , for n > 1. 2.

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Q: 13. What is the sum of 5-14 2410z+21 3x2+14x-10 (2+7)(z-2)(z+3) O 32-14r-10 (z+3)(z+5)(z+2) » " #-3,…

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A: Given