Math 234-Calculus II Summer 2020
Lab 7
1 Directions
This lab requires that you have read 10.1-10.4.
Go to https://student.desmos.com and type in this lab's code: 4Q8 6WB. If you
are having difficulty with this lab, post a question in the discussion area
below. If you answer a question, give guidance, but not the entire solution.
1.1 Problem 0
Enter your name and SFA email, I need to know who to give the grades to.
1.2 Problem 1
Recall that the harmonic sequence is \(\{1/n\}\) and the harmonic series is \(\displaystyle \sum_{n=1}^\infty \frac{1}{n}\), which diverges.
Graph the first 100 terms of the harmonic sequence; the graph should be of the from \((n,1/n)\) since the domain of a sequence is the positive integers.
Next graph the first 100 partial sums of the harmonic series: \(\displaystyle S_n = \sum_{i=1}^n \frac{1}{i}\).
1.3 Problem 2
The alternating harmonic series is \(\displaystyle \sum_{n=1}^\infty \frac{(-1)^{n+1}}{n}. \) Graph the first 100 terms of the alternating harmonic sequence, and then the first 100 partial sums of the alternating harmonic series.