Dave Jones (EEVBLOG) tries the DM42

Discussion around the Swiss Micros DM42 calculator.
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Walter
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Re: Dave Jones (EEVBLOG) tries the DM42

Post by Walter » Sat Dec 29, 2018 9:29 am

Meino,

From the German Wikipedia, keyword "Goldener Schnitt" (i.e. golden ratio):
Das Verhältnis zweier aufeinanderfolgender Zahlen der Fibonacci-Folge strebt gegen den Goldenen Schnitt
meaning that the ratio of two consecutive Fibonacci numbers approaches the golden ratio.

At the bottom line, it may be beneficial to search beyond English sometimes. Maybe there is even an article in your language. :o
DM42 SN: 00041 --- Follower of Platon.

HP-35, HP-45, ..., HP-50, WP 34S, WP 31S, DM16L

Thomas Okken
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Re: Dave Jones (EEVBLOG) tries the DM42

Post by Thomas Okken » Sat Dec 29, 2018 12:25 pm

mcc wrote:
Sat Dec 29, 2018 7:38 am
And it is said, that
this sum tends to the reciprocal of the golden ratio
That's a great example of how you can completely destroy the meaning of a phrase by taking it out of context. Here's the complete paragraph in question, copied and pasted from the English Wikipedia:
The ratio of successive terms in this sum tends to the reciprocal of the golden ratio. Since this is less than 1, the ratio test shows that the sum converges.
What tends to the reciprocal of the golden ratio is the ratio of successive terms, not the sum of the series. Since each term is the reciprocal of an element of the Fibonacci series, and since the ratio of successive elements of the Fibonacci series is known to tend to the golden ratio, this is a rather trivial observation. The point of the observation is that the ratio test applies, and proves that the sum of the series converges.

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