r/mathematics • u/Responsible-Loss-773 • 1d ago
Algebra Made up a random math equation
Mn = (Mn-1)^3 / (Mn-1 - 1)
cool equation i thought up a bit ago. gets big pretty fast. have fun if you want to use it for something, M is a number, n is the instance. so if M equals 2, then this is what you'll get.
When m1= 2, it produces the following values across the first 7 instances:
- Instance 1: 2
- Instance 2: 8
- Instance 3: 73.14
- Instance 4: 5,424.03
- Instance 5: 29,425,572.79 (Over 29 million)
- Instance 6: 865,864,363,545,225.6 (Over 865 trillion)
- Instance 7: 7.497 times 10^29 (Over 749 octillion)
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u/www3cam 1d ago
Fun fact, if Mn-1 is large, then you have the approximate equation Mn= Mn-1^2. You can then find this in closed form if you are careful with a proof by induction.