I imagine that it is a stamp with an 8 value, because the next stamp is equal to the sum of the previous two, but which one eludes me.
THE FIRST NUMBERS OF THE FIBONACCI SERIES!!!! 1, 1, 2, 3, 5, ... And Vic is right the next one is 8, then 13, 21, 34, 55, ...
I am a self professed math nerd and the high school math club I was in charge of did many weird things - memorizing pi to certain decimal places, memorizing prime numbers, working out really cool math problems, etc., but most of all they seemed to like the Fibonacci series. There is actually a formula we discovered that will generate the nth # in the series independent of the proceeding numbers. Problem is I can't either remember it or find it!! Here's an article if anyone really cares! https://www.cuemath.com/numbers/fibonacc ...
The formula I mentioned is called Binet's Formula. It's proof is given in this link, again if anyone wants to have a look.
https://artofproblemsolving.com/wiki/ind ...
Very stupid math joke: Next time you want a piece of pie consider this: 3.14159
Also if you remember the curve tracing segment of first year calculus course you have to be very careful that you know the difference between "an assymptote and a hole in the graph".
" but which one eludes me."
BUT - logic says the Fibonacci Sequence should have never gone beyond 0!
Actually some people start the series at 0. The series 0, 1, 1, 2, 3, 5, 8, 13, ... works as well since 0 + 1 = 1. Sorry, just being a pain!!
Ah, but how do you get beyond a total of zero if zero plus what is before it - which is nothing - equates to zero?!?
Using that logic, you should never have ever gotten to the number 1!
The series is considered to either start at 0 or 1 and negative numbers are usually not considered. If you wish you can consider a negative Fibonacci series like this -1, -1, -2, -3, -5, -8, -13, ... but the two series can not be mixed together. Both series start at 0 and go in opposite directions. I hope this makes a bit of sense! It's sort of fun to be able to discuss math again!! Where do we go next? Countability of rational numbers, uncountability of irrational numbers, the Golden Ratio, representing rational numbers as repeating decimals, the sky's the limit!!!!
EDIT: Of course if you add together the positive and negative Fibonacci series you get 0. If we manufacture our own terminology F(+) + F(-) = 0
Okay, had my fun!
Back to my stampin!!
With all due respect, I believe the instructions were "Show the next stamp ..." and not "tell ..."
As sheepshanks says, any stamp with a denomination equal to 8 will do. I show a scan of such.
I so like "seeing" stamps!
JTH
You are absolutely right and thank you for showing an 8!
I had assumed that as we were to show the next stamp that it would be a particular stamp, following the country/ subject order, not just any stamp with an eight value.
Spent hours trying to see a correlation between the countries and subject matter, well, no I didn't really, gave up on that very quickly. Never was much good at seeing sequences, they always seem so contrived. Perhaps that is why I never qualified for Mensa, and not being able to get my name spelled right.
Thanks for the brain teaser Jan.
I couldn't resist.
Ok Antonio, you have me on this one, can see no order or sequence in the sheet number 172912. It is not a prime number merely a composite. Does not read the same forwards/backwards.
Can see no relation to the stamp value, either singly or as a multiple.172912 is a stock/part number for a Munroe strut but not sure it would have been used on a Dredger.
The denomination on the stamp, "13", is the next number in the Fibonacci series, that is 5 + 8 = 13.
The series goes 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ... (as posted earlier by Harvey -- or maybe OBI made that post. )
Thanks Mike. Now you know why I failed Mensa, thought it was a new puzzle.
We have our winner!!!
OK, here is a continuing challenge: can we continue this sequence?
1
1
2
3
5
8
13
21
34
55
89
144
233
377
610
987
1597
2584
4181
6765
10946
I can think of stamps for all the numbers up to 144, (don't have time to post pictures now) but I bet the ones after that are going to be challenging.
You up to it?
Roy
Spain provides the stamp for 233....
And Andorra provides the stamp for 377...
And, this souvenir sheet from New Zealand has a face value of NZ$6.10...
"Spent hours trying to see a correlation between the countries and subject matter, well, no I didn't really, gave up on that very quickly. Never was much good at seeing sequences, they always seem so contrived."
Here is one that is actually 610. It seems to be as high as we can get with the Fibonacci sequence in stamp values.
Terry and Janisimon either have terrific memory or proficient use of the "face value" search button on Colnect. Based on other posts, I suspect "both" is the correct answer. Thanks for the puzzle.
I do not pretend to know all stamps by heart, so yes, Collect is s great help with its terrific search options. Also very handy when looking for specific themes.
Best regards Jan-Simon
Because it is so awfully quiet, I thought it might be time to recycle one of the stamp puzzles we have each month on another web-based group.
The task is very simple.
Show the next stamp and tell me why it should be the one you picked.
Good luck!
re: Puzzle time (again)
I imagine that it is a stamp with an 8 value, because the next stamp is equal to the sum of the previous two, but which one eludes me.
re: Puzzle time (again)
THE FIRST NUMBERS OF THE FIBONACCI SERIES!!!! 1, 1, 2, 3, 5, ... And Vic is right the next one is 8, then 13, 21, 34, 55, ...
I am a self professed math nerd and the high school math club I was in charge of did many weird things - memorizing pi to certain decimal places, memorizing prime numbers, working out really cool math problems, etc., but most of all they seemed to like the Fibonacci series. There is actually a formula we discovered that will generate the nth # in the series independent of the proceeding numbers. Problem is I can't either remember it or find it!! Here's an article if anyone really cares! https://www.cuemath.com/numbers/fibonacc ...
The formula I mentioned is called Binet's Formula. It's proof is given in this link, again if anyone wants to have a look.
https://artofproblemsolving.com/wiki/ind ...
Very stupid math joke: Next time you want a piece of pie consider this: 3.14159
Also if you remember the curve tracing segment of first year calculus course you have to be very careful that you know the difference between "an assymptote and a hole in the graph".
re: Puzzle time (again)
" but which one eludes me."
re: Puzzle time (again)
BUT - logic says the Fibonacci Sequence should have never gone beyond 0!
re: Puzzle time (again)
Actually some people start the series at 0. The series 0, 1, 1, 2, 3, 5, 8, 13, ... works as well since 0 + 1 = 1. Sorry, just being a pain!!
re: Puzzle time (again)
Ah, but how do you get beyond a total of zero if zero plus what is before it - which is nothing - equates to zero?!?
Using that logic, you should never have ever gotten to the number 1!
re: Puzzle time (again)
The series is considered to either start at 0 or 1 and negative numbers are usually not considered. If you wish you can consider a negative Fibonacci series like this -1, -1, -2, -3, -5, -8, -13, ... but the two series can not be mixed together. Both series start at 0 and go in opposite directions. I hope this makes a bit of sense! It's sort of fun to be able to discuss math again!! Where do we go next? Countability of rational numbers, uncountability of irrational numbers, the Golden Ratio, representing rational numbers as repeating decimals, the sky's the limit!!!!
EDIT: Of course if you add together the positive and negative Fibonacci series you get 0. If we manufacture our own terminology F(+) + F(-) = 0
re: Puzzle time (again)
Okay, had my fun!
Back to my stampin!!
re: Puzzle time (again)
With all due respect, I believe the instructions were "Show the next stamp ..." and not "tell ..."
As sheepshanks says, any stamp with a denomination equal to 8 will do. I show a scan of such.
I so like "seeing" stamps!
JTH
re: Puzzle time (again)
You are absolutely right and thank you for showing an 8!
re: Puzzle time (again)
I had assumed that as we were to show the next stamp that it would be a particular stamp, following the country/ subject order, not just any stamp with an eight value.
Spent hours trying to see a correlation between the countries and subject matter, well, no I didn't really, gave up on that very quickly. Never was much good at seeing sequences, they always seem so contrived. Perhaps that is why I never qualified for Mensa, and not being able to get my name spelled right.
Thanks for the brain teaser Jan.
re: Puzzle time (again)
I couldn't resist.
re: Puzzle time (again)
Ok Antonio, you have me on this one, can see no order or sequence in the sheet number 172912. It is not a prime number merely a composite. Does not read the same forwards/backwards.
Can see no relation to the stamp value, either singly or as a multiple.172912 is a stock/part number for a Munroe strut but not sure it would have been used on a Dredger.
re: Puzzle time (again)
The denomination on the stamp, "13", is the next number in the Fibonacci series, that is 5 + 8 = 13.
The series goes 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ... (as posted earlier by Harvey -- or maybe OBI made that post. )
re: Puzzle time (again)
Thanks Mike. Now you know why I failed Mensa, thought it was a new puzzle.
re: Puzzle time (again)
We have our winner!!!
re: Puzzle time (again)
OK, here is a continuing challenge: can we continue this sequence?
1
1
2
3
5
8
13
21
34
55
89
144
233
377
610
987
1597
2584
4181
6765
10946
I can think of stamps for all the numbers up to 144, (don't have time to post pictures now) but I bet the ones after that are going to be challenging.
You up to it?
Roy
re: Puzzle time (again)
Spain provides the stamp for 233....
re: Puzzle time (again)
And Andorra provides the stamp for 377...
re: Puzzle time (again)
And, this souvenir sheet from New Zealand has a face value of NZ$6.10...
re: Puzzle time (again)
"Spent hours trying to see a correlation between the countries and subject matter, well, no I didn't really, gave up on that very quickly. Never was much good at seeing sequences, they always seem so contrived."
re: Puzzle time (again)
Here is one that is actually 610. It seems to be as high as we can get with the Fibonacci sequence in stamp values.
re: Puzzle time (again)
Terry and Janisimon either have terrific memory or proficient use of the "face value" search button on Colnect. Based on other posts, I suspect "both" is the correct answer. Thanks for the puzzle.
re: Puzzle time (again)
I do not pretend to know all stamps by heart, so yes, Collect is s great help with its terrific search options. Also very handy when looking for specific themes.
Best regards Jan-Simon