I got question 1. I just don\'t know which test to use for each of the other que

Question

I got question 1. I just don't know which test to use for each of the other questions. Please help!

eu. Apri11 1. 14 points cach] Write a formula for a, the n term of each of the following sequences. You don't need to show any work, just the formula. Take n = l as your starting point. (a) 3, 7, 11, 15 2'3' 4'5 For each of the following series, determine if the series converges or diverges. If the series is geometric (and convergent) then you should also find its sum. Otherwise, it is just enough to determine convergence or divergence. Show clearly what test you are using, and your work in using it. 4 points each part. Here are the tools that you have at your disposal. Look them up on your formula sheet if you need to. Geometric series (and its sum) Divergence Test Integral Test Limit Comparison Test Ratio Test And maybe the Root Test . . 2. 3. 3n-1 ? (-5) 0 4.6-1 y/n 6 (2n)! 3" 7. 3n n-1 e (a) First use the ratio test to show that this one converges. (b) Then use the Root Test. I might not have gone over the Root Test in class, in which case you should look it up (page 663 of our text). MTH 2410 Homework 8 (Graded) Page 1

Explanation / Answer

2) Limit comparision test

3) Divergence Test

4) Series ration Test

5) Ratio test inconclusive

6) Series Ratio Test

7) Geometric series ( series sum/difference Rule)

8) series ration test

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