The nth term of a geometric sequence can be written

a(n) = a(1)*r^(n-1)

We can rewrite the two given equations:

a(2) + a(4) = 30 = a(1)*r + a(1)*r^3 (Equation 1)
a(3) + a(5) = 15 = a(1)*r^2 + a(1)*r^4 (Equation 2)

Notice that Equation 1 can be substituted into Equation, i.e.,

a(1)*r^2 + a(1)*r^4 = 15
r*[a(1)*r + a(1)*r^3] = 15
r*(30) = 15
r = 1/2

If we substitute this into Equation 1, we have

a(1)/2 + a(1)/8 = 30
a(1) = 30 * 8/5 = 48

The answer is 48. Did he even need to specify that the sum exists? It's a finite geometric sequence so surely it's impossible for the sum not to exist? If you want to stop me old man, ask me the most basic combinatorics question you can think of and I'll start foaming at the mouth.

Thanks for verifying my answer, Elpam!

Sauce: The Last Adventurer, Ch. 103

"Maybe you can start commenting on my whiskers when your pre-commit hooks stop failing"

1. Add pause button to cutscenes
2. Disable pause button at all points in the game
3. Profit

At least we can skip now ig

Damn I miss Japan. Anyone wanna geoguess?

Bonuses

ow

human is not doing job properly

cross-posted from: https://discuss.tchncs.de/post/29979244

Clearly it must be (left) noetherian! (Since we wouldn't want a ascending subnormal chain that doesn't stop where all of the elements are enjoyed by the larger ideals/submodules) :)

Sorry, writing "R is comm(unitive)" so many times can make you do things

Might be enjoyed here xd

A really beautiful piece by my former composition teacher. This is the one that really inspired me to someday compose my own music. Unfortunately, I lost contact with him after he had lost someone close to him I think, but I'm happy that he looks like he's doing well. Please enjoy!

Hello everyone,

There's a rhythm that I like but I'm not all too familiar with its name. Here are some examples:

• Doechii TinyDesk concert: https://youtu.be/-91vymvIH0c (22:56)
• DRUM GO DUM by KDA: https://youtu.be/VLE6Y1q13qE (2:53)
• Replay by Landon Conrath: https://youtu.be/m55UdZh4xXg (0:23)

It could be that they're not related at all and I just like hearing double time, but I think I've heard the term DnB before, but I've never had it properly defined. Thanks!

I wanted to maybe start making PeerTubr videos, but then I realized I've never had to consider my voice as part of my threat model. A consequence that immediately comes to mind is potentially having your voice trained on by AI, but I'm not (currently) in a position where others would find it desirable to do so. Potentially in the future?

I'd like to know how your threat model handles your personal voice. And as a bonus, how would voice modulators help your voice in/prevent your voice from being more flexible in your threat model? Thanks!

I don't know if I'm opening a can of worms here, and I'm still trying to backtrack a lot of history where I was tuning everything out. I keep seeing random swipes at Signal (or the representatives (?)), and I was wondering whether they are founded or just lies.Is it another situation like Lemmy where we just "take the technology and move on"? Thanks!