Geometric series Memes

Posts tagged with Geometric series

Proof That 0.9999... = 1 For Anyone Who Is Still Convinced Otherwise

Proof That 0.9999... = 1 For Anyone Who Is Still Convinced Otherwise
The mathematical mic drop we never knew we needed! This meme elegantly proves that 0.9999... equals exactly 1 using infinite geometric series. The kitten peeking in is like that one student who's skeptical but can't argue with solid math. The formula a/(1-r) transforms the never-ending decimal into a clean, undeniable 1. Next time someone argues about this in a math debate, just show them this kitten-approved proof and watch their existential crisis unfold in real-time.

Rigorous Enough For Your Theorem?

Rigorous Enough For Your Theorem?
When mathematicians flirt, they don't just stop at proving something once. The infinite recursion of "I'm going to prove ∑(1/2^n) = 1" is basically mathematical foreplay. First you prove it, then you prove it inside a smaller box, then smaller, ad infinitum—just like how your professor insists on "rigorous proof" but never tells you when it's rigorous enough. The geometric series converges, but apparently the need to impress your mathematical crush never does.

Proof By Hilbert's Hotel

Proof By Hilbert's Hotel
The mathematical trickery here is absolutely diabolical! This meme shows a "proof" that 2 = 0 using infinite series manipulation. It starts with the correct geometric series 2 = 1 + 1/2 + 1/4 + 1/8 + ..., but then performs a sneaky shifting of terms that breaks all mathematical rules. It's like watching someone pull a rabbit from a hat, except the rabbit is actually the mathematician's credibility! The trick relies on illegally rearranging an infinite series - a big no-no that would make your calculus professor spontaneously combust. 🔥 Hilbert's Hotel is famous for showing how infinity creates paradoxes - like a full hotel that can still accommodate new guests. This "proof" is similarly playing with infinity's weird properties to reach a ridiculous conclusion. It's mathematical chaos theory, but for people who enjoy breaking math instead of fixing it!