Sorry in advance for my lack of mathematical knowledge, I am very new to it.
Yesterday, I posed this question to myself:
"In a world without addition or subtraction, how could we derive the next value in the sequence of natural numbers from 1→∞ with a step size of 1?"
This lead me to the idea of multiplication to find the next value in a sequence. After analyzing the multipliers between each natural value using:
(n+1)n
I noticed the pattern of this sequence starts at the high values of 2 and 1.5, then converges to a value of 1.
My two questions:
- Is it right to assume that the sequence of multipliers should have a more predictable sequence?
- Are there more elegant ways of producing the next natural number without addition or subtraction?
Answer
With the function 2n and it's inverse, log2 available,
n+1=log2(2⋅2n).
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