/sci/ - Science & Math » Thread #14064616

3MiB, 4128x3096, 20220106_041252.jpg

View Same Google iqdb SauceNAO

Anonymous Thu 06 Jan 10:19:06 2022 No.14064616 View Reply Original Report

Quoted By: >>14064655

What comes next /sci/? is it + ... or - ...?

Anonymous

Anonymous Thu 06 Jan 2022 10:34:55 No.14064654 Report

Quoted By:

Minus

Anonymous

Anonymous Thu 06 Jan 2022 10:35:09 No.14064655 Report

Quoted By: >>14064718

>>14064616
After you distribute the x in the 3rd line (and make sure to distribute it to every term properly), don't cancel anything out just yet and isolate the x^n term, you'll see what you have if you do it right.

Anonymous

Anonymous Thu 06 Jan 2022 10:54:57 No.14064718 Report

Quoted By:

>>14064655
I don't know how to distribute x to ... or is it just - ... - x^2 - x?

Anonymous

View Same Google iqdb SauceNAO 20220106_045916.jpg, 3MiB, 4128x3096

Anonymous Thu 06 Jan 2022 11:00:13 No.14064739 Report

Quoted By:

Good so far?

Anonymous

Anonymous Thu 06 Jan 2022 11:05:44 No.14064751 Report

Quoted By:

Anonymous

View Same Google iqdb SauceNAO 20220106_050911.jpg, 2MiB, 4000x2250

Anonymous Thu 06 Jan 2022 11:11:40 No.14064768 Report

Quoted By: >>14064803

Anonymous

View Same Google iqdb SauceNAO sol.jpg, 226KiB, 1471x286

Anonymous Thu 06 Jan 2022 11:26:48 No.14064803 Report

Quoted By:

>>14064768
Thanks, the solution in the book is different

Anonymous

Anonymous Thu 06 Jan 2022 11:34:21 No.14064821 Report

Quoted By:

$\sum_{k=0}^{n-1} (-x)^k \\ = \frac{1}{x+1} \left( \sum_{k=0}^{n-1} (x+1) (-x)^k \right) \\ = \frac{1}{x+1} \left( - \sum_{k=1}^{n} (-x)^k + \sum_{k=0}^{n-1} (-x)^k \right) \\ = \frac{1}{x+1} \left( - (-x)^n + 1 \right) \\ = \frac{x^n + 1}{x + 1} $

Anonymous

Anonymous Thu 06 Jan 2022 12:54:28 No.14065050 Report

Quoted By:

x^n-3 you showed it in the second line

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