Determine the behavior of the following SEQUENCES. 3n+sin(n² } The sequence The sequence The sequence n 3n {(-9) {(−1)² diverges diverges n² +6n+21 9n²2n 6 diverges

Q: Evaluate Σ n=1 2 2 n' +4n+3

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Q: Determine whether each sequence converges or diverges. If it converges, find the limit. a.…

A: We have to simply check whether the given sequences are convergent or divergent and if convergent we…

Q: a. 'n == en 6 n

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Q: Determine whether the sequence converges or diverges. If it converges, find the limit. 2 + 12n2 an =…

A: The given sequence is an=2+12n2n+14n2.

Q: Using the Divergence test, which of the following series is decided divergent 1 k2 + 3 k Σ et k-2 k2…

A: As per guideline we have to solve only one

Q: Section A Q1. (a) Does the sequence whose n'h temis a, = () converge? If so, find lim an. n-00

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Q: Determine the convergence or divergence of the sequence with the given nth term. If the sequence…

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Q: Consider the three basic vectors: (2,1,0,-1),(-1,1,1,1),(2,7,4,1) a. give two vectors that are in…

A: Given the three basic vectors:                           (2,1,0,-1),(-1,1,1,1),and (2,7,4,1) We have…

Q: Find if ∑(2/3)(n-1) converges. If it converges. Find the value. ∑ goes thru n=3 to ∞. Write step by…

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Q: Determine whether the statement is true or false. If E c,8" is convergent, then E c,(-4)" is…

A: To determine whether the given statement is convergent

Q: hetermine whether the following serfes converge or diverge for the values of p.

A: In the given question we have to check the series such that the series is convergent or divergent.…

Q: Question 5: Let X = (7,0, e,0, r, 0, e, 0, 7, 0, e,0, .). Show that the sequence X does not converge…

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Q: If both E Un and E(-un) converges then E Un| n=1 n=1 n=1 is also convergent.

A: It is given that ∑n=1∞un and ∑n=1∞-un converges.

Q: 12 n 12 n+ 3.64 2 n converges to The sequence an = Note: You may need to use the command.evalf() to…

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