# Write out the terms 1 2 6 , , , a a a K of the...

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Name: College ID: Thomas Edison State College Calculus II (MAT-232) Section no.8.1, 8.2, 8.3, 8.4, 8.5 Semester and year: Written Assignment 4 Answer all assigned exercises, and show all work. Each exercise is worth 4 points. Section 8.1 2. Write out the terms 1 2 6 , , , a a a K of the sequence. 3 4 3 1 3 3 1 3 , , , , , 5 2 7 8 3 10 n a n 8. (a) Find the limit of the sequence, (b) use the definition to show that the sequence converges, and (c) plot the sequence on a calculator or CAS.
12. Determine whether the sequence converges or diverges.
18. Determine whether the sequence converges or diverges.
20. Determine whether the sequence converges or diverges.
Section 8.2 4. Determine whether the series converges or diverges. For convergent series, find the sum of the series.
8. Determine whether the series converges or diverges. For convergent series, find the sum of the series.
1 4 2 4 lim 4,4 0, 2 k k k k usethekth termtest k diverges k  10. Determine whether the series converges or diverges. For convergent series, find the sum of the series.