1 1 az = 125 sin 25 1 1 az = 3125 sin 1 a1 = 5 sin az = 25 sin 53 a4 125 625 sin 625 3125 a) Find an explicit formula for an b) Determine whether the sequence is convergent or divergent: (Enter "convergent" or "divergent" as appropriate.) c) If it converges, find lim,→∞ an =

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Q: If ,5° is convergent, can we conclude that each of the following series is convergent? (a) When…

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Q: Find the sum of the convergent series.

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Q: too Prove that the geometric series (- Converges an find its sum.

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Q: 3. Ση-1 -1/m By the e n2 series test:

A: We will solve this problem by Abel's test for series

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Q: Suppose that an < bn and we know the series bn converges. Then an converges.

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Q: Give an example of a series such that > an converges but lan| diverges.

A:

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Q: Show that the series 2 - 2/4 + 2/9 - 2/16 ... is convergent by the alternating series test. and find…

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Q: (b) Show that the assumption of absolute convergence for the seriesbn is needed. That is, construct…

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Q: Find the sum of the convergent series.

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Q: 00 42n (++6)" is convergent if The given power series : 87 |(z+ 6)| < (Write your answer up to 5…

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A:

Q: Determine whether the series nl-3n converges or 42n diverges. Show all your work.

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A: the given sequence,an=3+5n2n+n2

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.