Infinite Series Lesson Slides: 8 Slides (12th Grade)

8 Slides • 5 Questions

1

Infinite Series

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3

4

Let's Consider an example

$\sum_{n=1}^{\infty}\frac{n}{n+1}$

5

Open Ended

Does the series converge or diverge?

\sum_{n=1}^{\infty}\left(-1\right)^n

Type response here

6

Open Ended

Does the series converge or diverge?

\sum_{n=1}^{\infty}\frac{1}{n\left(n+1\right)}

Type response here

7

The Harmonic Series

$\sum_{n=1}^{\infty}\frac{1}{n}$
Let's look at some partial sums (SAGE/DESMOS)
https://www.desmos.com/calculator/8op6xpfuks

8

9

10

Open Ended

$\sum_{n=1}^{\infty}\frac{\left(-3\right)^{\left(n+1\right)}}{4^{\left(n-1\right)}}$ Does this converge or diverge? IF it converges can you find the limit?

Type response here

11

Open Ended

$\sum_{n=1}^{\infty}e^{2n}$ Does this converge or diverge? IF it converges can you find the limit?

Type response here

12

13

Poll

Series? How do you feel about them?

i hate this so much

I'm confused

way better than integration

I have got this so far

Infinite Series

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