Determine whether the sequence convergent or divergent. 3. n =1 n+3 a. diverges b. converges

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Q: п+1 n Cn Зп + 2

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Q: Write an expression for the nth term of the sequence. (Your formula should work for n = 1, 2, ...) 8…

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Q: Which of the following is/are an increasing sequence? 1, n 2 1 II: an :=, n21 := n3 I: an := 1 -

A: Thanks for the question :)And your upvote will be really appreciable ;) Answer :- C III only

Q: Does the sequences converges or diverges ? A) . (1-)") .«1 +(-1)"), ((-1)". (n+3 2n3 \n+1, n3+1

A: SOLUTION-

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A: Note : the sequence is convergent. We will evaluate the limit.

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A: we know that if the sequence is in Geomentric sequence that is a1,a2,a3,a4,.....than the ratios that…

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Q: 2 1 Does the sequence a, = 2 - converge or diverge? 2" Give reasons for your answer. Nic

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Q: To find the 40th term of the geometric sequence 8, 6, , which formula is correct? 39 8(4) a40 39 O…

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Q: 7.) n=1

A: The given series

Q: b. The finite sequence whose general term is a, = 0.6n + 2, where n = 1, 2, 3, .., 7, models the…

A: an=0.6n+2 Put n =1 a1=(0.6)(1)+2 = 2.6 Put n =2 a2=(0.6)(2)+2=3.2 Put n =3 a3=(0.6)(3)+2=3.8 Put n…

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Q: (c) Show that the sequence is eventually strictly increasing. 13 n=1

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A: 5 -b(false)

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A: We have o find: a first five terms of the sequence an b is the sequence convergent or divergent?…

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A: Check whether the sequence is increasing, decreasing or not monotonic.

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Q: etermine whether the sequence converges or diverges. (-1)" + 1n3 an n3 + 9n2 + 7

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Q: Q1: Which of the sequences converge, and which diverge? n2 an 1-бп 1. 2. an 1+ 2n = [1+ 3n 3. an 4.…

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Q: Bonus. Suppose that {a,}n is a convergent sequence and that {b„}n is a divergent sequence. Can the…

A: {an+bn} can't be convergent.

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A: Given sequence,  an=2nn! Then,  limn→∞an+1an=limn→∞2n+1n+1!×n!22=limn→∞2n+1=0

Q: 4n3 -n Does the sequence converge? If so, to what value? If not, does it diverge to positive…

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Q: 3

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Q: 4. Now let r = 4. Calculate the first 100 sequence values and generate a cobweb diagram. What is the…

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Q: (-1)"n? а, п -Зп +9 n-I2 u. n°

A: Cgt dgt problem.....

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A: Given sequence  3, 8, 13, 18, 23, ...

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Q: 1. Which is a finite geometric sequence? О (300, 30, 0.3, 0.003, ...} О (5, 10, 15, 20, ..) О (5,…

A: NOTE: Refresh your page if you can't see any equations. . as we can see the sequence is not finite…

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A: We will write the definition of sequence  converges and bounded

Q: (-1)") Vn п 3 n=1

A: The given series is an alternative series is of the form: ∑n=1∞−1nan=∑n=1∞−1n1n3an=1n3

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Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.