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2- 4. Given the Sequence below(-3)***** a) Write the first five terms of the sequence. b)...
(1 point) Write out the first five terms of the sequence determine whether the sequence converges, n=1 and if so find its limit. (-1)+1 Enter the following information for an = (n+1)2 lim (-1)^+1 n+ (n + 1)2 (Enter DNE if limit Does Not Exist.) Does the sequence converge (Enter "yes" or "no").
Consider the sequence: -2/3, 2/9, -2/27, 2/81, -2/243……Part 1: A Formula Find a formula for the nth term of this sequence:an = _______ ∑Part 2: Limit of the Sequence Find the limit of the sequence: lim(n->∞) an = _______ ∑Remember: INF, -INF, DNE are also possible answers. Part 3: Converge or Diverge? Does this sequence converge or diverge?
(1 point) Write out the first five terms of the sequence a n = (-1)^ n-1 (n+4)^ 2 Enter the following information for a, a 1 = a 2 = a 3 = a 4 = a 5 = lim n infty (-1)^ n-1 (n+4)^ 2 = Box (Enter DNE if limit Does Not Exist.) Does the sequence converge Bigg[ (-1)^ n-1 (n+4)^ 2 Bigg] n=1 ^ infty determine whether the sequence converges, and if so find its limit. (Enter...
(1 point) Consider the sequence ax ncos(n) 2n-1 Write the first five terms of a,, and find liman. If the sequence diverges, enter"divergent" in the answer box for its limit. a) First five terms: b) lim,-- ..
2. Consider the sequence {2(-1)"}=1 (a) List the first 4 terms. (b) Compute for the partial sum of SA (e) Determine if the series converge or diverge. If it does converge what value it converges to. 00 2-3) nal
(1 point) Write out the first five terms of the sequence with, [(1-4"100 sequence converges, and if so find its limit. determine whether the Enter the following information for an-(1 -m3)" a = | 625/656I a5 7776/100000 4 lime (1-nts) noo (1 point) Write out the first five terms of the sequence with, [(1-4"100 sequence converges, and if so find its limit. determine whether the Enter the following information for an-(1 -m3)" a = | 625/656I a5 7776/100000 4 lime...
Find the limit of the following. lim (V9x2 + 7x - V9x2 – 3x) lim (9x2 +7x - V9x2 - 3x) - X-00 (Simplify your answer.) t + 3t - 208 Find lim -13 - 169 + + 3t - 208 lim 1-13 - 169 (Type an integer or a simplified fraction.) Define f(7) in a way that extends f(s)= S-343 2 to be continuous at s = 7. s -49 f(7)- (Type an integer or a simplified fraction.) x+5...
help.PNGa. Find a formula for the general term . b. Does this sequence converge or diverge? Why? c. Does the series converge or diverge? Why?I did part (a) already since it was the easiest one and I got a_n=3/(4n). correct me if I am wrong. However, I do not know which test to use for part b and c.
Write out the first five terms of the sequence with, \(\left[\frac{\ln(n)}{n+1}\right]_{n=1}\), determine whether the sequence converges, and if so find its limit. Enter the following information for \(a_{n}=\frac{\ln (n)}{n+1}\). \(a_{1}=\) \(a_{2}=\) \(a_{3}=\) \(a_{4}=\) \(a_{5}=\) \(\lim_{n \rightarrow \infty} \frac{\ln (n)}{n+1}=\) (Enter DNE if limit Does Not Exist.) Does the sequence converge (Enter "yes" or "no").
Write the first four terms of the sequence whose general term is given an-4n + 1 a,