n2 The sequence is 3 +1 = 1 Select one: a. Divergent b. Convergent 8.

Q: The sequence {(-1)"*'. 2},=, is Select one: a. Divergent b. Convergent

A: Sequence problem....

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Q: a1 = 2 an+1 = 4 – an for n 2 1

A: a1=2 then a2=4-a1=4-2=2 similarrlly a3=4-a2=4-2=2. Now we prove that an = 2 for all n  by induction.…

Q: Find the general term of the sequence, starting with n=2 and test for convergence. (J2- 3) (J5- JA)…

A: Explanation of the answer is as follows

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Q: Q4) which of the sequence below converge, and which diverge? 1- 5n • Un n4+ 8n3 • U, - In (" *!)".…

A: Note: Our guidelines we are supposed to answer only first three subpart . Kindly repost other…

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Q: 64. (a) Determine whether the sequence defined as follows is convergent or divergent: a1 = 1 An+1 =…

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Q: Q2. Find the general term of the sequence, starting with n=2 and test for convergence. (J2-V5) (53 –…

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Q: (-1)"n² n2 + 1

A: Topic: sequence and series

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Q: (b) Why? ) Consider the sequence {an = (-1)"}n€Z+· Is it divergent or convergent?

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Q: +0o > The sequence{In(-)} is n31 (i) Converge (ii) Diverge

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A: Given series (i) an=3n+11-2n , (ii) an=(4n+1)3-n , (iii) an=3+(-1)n  and (iv) an=1+(-1)nn4 We have…

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A: Given: a1=1an+1=4-an          for n≥1

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.