Use the Principie to prove the Ving 3n+1 – 1 is divisible by 2 for all n > 0

Q: (5) 7(3k – 1)² +26(3k – 1)–8

A: On simplifying the above expression,we get

Q: Show that 7 divides 29(52k) + 17(25k-2) for any integer k ≥ 1.

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Q: Truett multiplied (5x – 2) by a second binomial and got the product of 25x? 4. Which of the…

A: Given : first binomial is 5x-2 Product is 25x2-4 we know that product is the multiplication of two…

Q: k+4 n(3n +7) k(k +1)(k + 2) 2(n+1)(n+2) k=1

A: Given ∑k=1nk+4k(k+1)(k+2) To show  ∑k=1nk+4k(k+1)(k+2)=n(3n+7)2(n+1)(n+2)

Q: Write the binomial expansion for (x+ 2y)*. (x + 2y)* =D

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Q: Suppose that x and y are real numbers such that y is 6 greater than x. What is the smallest possible…

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Q: For some real numbers m and n, the list 3n2, m2, 2(n + 1)2 consists of three consecutive integers…

A: For some real numbers m and n, the list 3n2 ,  m2  , 2(n + 1)2  consists of three consecutive…

Q: Use the binomial theorem to expand the following expression. (u – v)5 By the binomial theorem with 5…

A: Given expression (u-v)5 Using binomial theorem,

Q: Show that the the greatest common divisor gcd(16" – 4",17" – 2") is divisible by 3 for all n E N.

A: Consider the provided question,

Q: so-Z of what is 21

A:

Q: Find a Big-O estimate of (2n+n2)(n3+3n)

A: Given the given expression is 2n+n2n3+3n. Big-O notation: the fn is Ogn for positive constant C and…

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

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Q: given 7(x-1)=2(3x+2) prove x=11

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Q: Use the binomial theorem to show that 72 Σ(1) ( **(?). i-0 0.

A: Use binomial theorem to show that given formula.