For the sequence a n = 8n 3n + 6 , n = 1,2,3,4, a) does...

For the sequence a n = 8n 3n + 6 , n = 1,2,3,4, a) does the sequence converge or diverge? Why? If it converges, what exactly does it converge to?

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milcah answered 2 years ago

def seq3np1(n): """ Print the 3n+1 sequence from n, terminating when it reaches 1. args: n...

def seq3np1(n): """ Print the 3n+1 sequence from n, terminating when it reaches 1. args: n (int) starting value for 3n+1 sequence return: None """ while(n != 1): print(n) if(n % 2) == 0: # n is even n = n // 2 else: # n is odd n = n * 3 + 1 print(n) # the last print is 1 def main(): seq3np1(3) main() Using the provided code, alter the function as follows: First, delete the print statements...

1- Show that (n^3+3n^2+3n+1) / (n+1) is O (n2 ). Use the definition and proof of...

1- Show that (n^3+3n^2+3n+1) / (n+1) is O (n2 ). Use the definition and proof of big-O notation. 2- Prove using the definition of Omega notation that either 8 n is Ω (5 n ) or not. please help be with both

6a. Show that 2/n = 1/3n + 5/3n and use this identity to obtain the unit...

6a. Show that 2/n = 1/3n + 5/3n and use this identity to obtain the unit fraction decompositions of 2/25 , 2/65 , and 2/85 as given in the 2/n table in the Rhind Mathematical Papyrus. 6b. Show that 2/mn = 1/ (m ((m+n)/ 2 )) + 1/ (n ((m+n)/ 2 )) and use this identity to obtain the unit fraction decompositions of 2/7 , 2/35 , and 2/91 as given in the 2/n table in the Rhind Mathematical Papyrus....

Derive the Sackur-Tetrode equation starting from the multiplicity givenin Ch. 2: Ω =(1/N!)(V^{N}/h^{3N})(pi^{3N/2}/3N^{2}!)(2mU)^{3N/2} The Sackur-Tetrode equation...

Derive the Sackur-Tetrode equation starting from the multiplicity givenin Ch. 2: Ω =(1/N!)(V^{N}/h^{3N})(pi^{3N/2}/3N^{2}!)(2mU)^{3N/2} The Sackur-Tetrode equation is: S=Nk[ln((V/N)((4pi*m*U)/(3Nh^{2}))^{3/2})+(5/2)]

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If f(n) = 3n+2 and g(n) = n, then Prove that f(n) = O (g(n))

Let n be a positive integer. Prove that two numbers n2+3n+6 and n2+2n+7 cannot be prime...

Let n be a positive integer. Prove that two numbers n2+3n+6 and n2+2n+7 cannot be prime at the same time.

a) Let T(n) be a running time function defined as T(n) = 3n^2 + 2n +...

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Let sn be a Cauchy sequence such that ∀n > 1, n ∈ N, ∃m >...

Let sn be a Cauchy sequence such that ∀n > 1, n ∈ N, ∃m > 1, m ∈ N such that |sn − m| = 1/3 (this says that every term of the sequence is an integer plus or minus 1/3 ). Show that the sequence sn is eventually constant, i.e. after a point all terms of the sequence are the same

Let {an}n∈N be a sequence with lim n→+∞ an = 0. Prove that there exists a...

Let {an}n∈N be a sequence with lim n→+∞ an = 0. Prove that there exists a subsequence {ank }k∈N so that X∞ k=1 |ank | ≤ 8

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