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 2, 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

And yes I'm staring

Sauce: Art of Reincarnation

Unrelated but straddling a dangerous line between wanting to be someone's cat and a furry, just let me prove things meow

Maybe I should've hopped the train way earlier, or maybe I'm just a whiny bitch, but I do NOT want to see pop-up ads on my paid service, especially for an even more expensive plan. Like dude, come on.

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

Hey everyone,

I've been seeing the Tornado mentioned in various places and wanted to ask for your opinions. Are any of you thinking of copping one?

Analog devices are very attractive to me. While I like the fact that devices like the UniDyn look like a tiny stick, I am a huge proponent for overengineered functionality than aesthetic (to an extent!)

This is my first ball vape, and this thing is pretty sick :) Here's one of the shots while taking a hit:

My friend and I watched Interstellar and I cried 5 different times in the first half alone (i dont rlly like the ending but meh)

I kinda already uploaded these to !cats@lemmy.world, but I just wanted you guys to see these as well. His name is Hattie and he is a certified bitch

Bonus

ow

Humanity is Cruel

Bonuses

ow

human is not doing job properly

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