# WA4 Clark .docx - Name Diana Clark University ID 0644492...

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Name: Diana Clark University ID: 0644492 Thomas Edison State University Calculus II (MAT-232) Section no.: WA4 Semester and year: September 2020 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 of the sequence. 5 2 7 8 3
n = 6, a 6 = 3 6 + 4 = 3 10 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. + 3 ε 2
12. Determine whether the sequence converges or diverges.
3 3 5 1 2 1 n n a n a n = 5 ( 1 n 3 ) 2 + ( 1 n 3 ) lim n→∞ a n = 5 2 Finite limit hence, the given sequence is convergent 18. Determine whether the sequence converges or diverges. 1
20. Determine whether the sequence converges or diverges. n 1 Given sequence is convergent
Section 8.2 4. Determine whether the series converges or diverges. For convergent series, find the sum of the series.
a = 4 ,r = 1 2 | r | < 1 k = 0 ar k converges to a 1 r if | r | < 1 the given seriesis convergent 4 1 1 2 = 8 Sum of series S = 8 8. Determine whether the series converges or diverges. For convergent series, find the sum of the series.
10. Determine whether the series converges or diverges. For convergent series, find the sum of the series.