The sequence (c} diverges.

Q: Prove or Disprove: Every oscillating sequence diverges.

A: To investigate the convergence (or divergence) of an oscillating sequence.

Q: A decreasing sequence where cn is greater than or equal to 1 for all n. If this sequence could…

A: A decreasing sequence where cn is greater than or equal to 1 for all n. That is, cn≥1, the sequence…

Q: Identify the sequence graphed below and the average rate of change fromn = 1 to n = 3. (2, 8) 7 (3,…

A: We are given a graph with some coordinates we need to find out the sequence of the graph and average…

Q: write the equation of this geometric sequence and find the value of the 9th term 1/3 , 1 , 3 , 9....…

A: First identify the series than find the nth term .

Q: 2. Give an example of an unbounded sequence {an} of negative terms such that an does not diverge to…

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Q: Suppose you want to type sequences of vowels (that is, the letters a, e, i, o and u). However, the e…

A: Given  the number of sequences of length   (i) Find (ii) Write a second-order difference equation…

Q: Does this mean the sequence is always convergent?

A: We can take limit of the sequence.  limn→∞an=limn→∞-1n-1nn+n

Q: Find x for which log 2, log (2" – 1), and log (2" +3) are three consecutive terms of the arithmetic…

A: If log2, log2x-1 and log2x+3 are three consecutive terms of of arithmetic sequence, then,…

Q: Determine whether the sequence {2n+3 / 5n−7} converges or diverges.

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Q: Use the Monotonic Sequence Theorem to show that the sequence n 3n is convergent.

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Q: how that the sequence (1 – (-1)" +1/n) is divergen

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Q: Determine whether ∞∑n=1√n / 2n2+n+5 is convergent.

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Q: Is the sequence an=n3/3n-1 convergent or divergent? explain.

A: The given sequence is: A sequence an is said to be convergent if, where "l" is a finite number.…

Q: [sqrt(3n+1)] / [ 2 + sqrt(n)] does this sequence converge? or diverge? and why?

A: The given sequence 3n+12+n. We have check whether the sequence is converges or diverges.

Q: Does the sequence {a,} converge or diverge? Find the limit if the sequence is convergent. 5/n an

A: The given sequence is an=5n5/n If limn→∞ an exists and it is finite then sequence an is convergent…

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.