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grahame
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« on: September 13, 2021, 11:18:13 pm »

Next in the sequence, and why? (One each please)

1. 1877, 1969, 1984, 1992

2. 05:33, 07:20, 07:52

3. 1, 1, 2, 3, 5

4. New Brighton, Ellesmere Port, West Kirby

5. MPK, MSO (Motor Standard Opens), MTH, MOT, MTG

6. Campaigner, Ranger, Champion

7. Beef, Duck, Hake
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brooklea
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« Reply #1 on: September 14, 2021, 06:56:37 am »

6. Fusilier; in numerical order, the name of the next surviving member of the Western Class locomotives.
D1010 Western Campaigner, D1013 Western Ranger, D1015 Western Champion, D1023 Western Fusilier
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PrestburyRoad
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« Reply #2 on: September 14, 2021, 08:21:02 am »

3. 8; Fibonacci sequence - or maybe grahame wanted a different railway-related answer?
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grahame
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« Reply #3 on: September 14, 2021, 08:27:51 am »

3. 8; Fibonacci sequence - or maybe grahame wanted a different railway-related answer?

You're correct ... I slipped just that one general sequence into the railway-specific ones. But I'm sure that someone will come up with a rail answer to!

6. Fusilier; in numerical order, the name of the next surviving member of the Western Class locomotives.
D1010 Western Campaigner, D1013 Western Ranger, D1015 Western Champion, D1023 Western Fusilier

Yes indeed.  I was looking at a warship sequence too, but I don't think enough have been preserved. I wonder why - personally I found them more artistic looking that the westerns.
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grahame
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« Reply #4 on: September 14, 2021, 09:49:52 am »

I thought there must be SOME link between trains and Fibonacci - and came across the following:

https://mast.queensu.ca/~math9-12/manual/TrainsManual.pdf

Quote
Counting Trains

This is quite an interesting activity. In line with my big theme of par- allel structures, it presents the students with two worlds:

The Fibonacci world. A sequence of integers generated with one of the simplest of all recursive generators: . This is an abstract world which contains many unexpected patterns, some of which we will encounter here.

The trains world. A sequence of integers with a concrete realization (number of trains of a fixed length) giving us a powerful access to the surprising patterns of the Fibonacci world.

In this unit the students are challenged to provide proofs for some of the well-known Fibonacci formulae by invoking properties of the structure of trains.

Edit - rewritten part of my post which got lost in submission ...
« Last Edit: September 14, 2021, 10:01:28 am by grahame » Logged

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eightonedee
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« Reply #5 on: September 14, 2021, 01:50:31 pm »

4 - Birkenhead (stations on the Wirral served by Northern Rail, but they don't seem to be in the right order?)
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grahame
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« Reply #6 on: September 14, 2021, 02:01:38 pm »

4 - Birkenhead (stations on the Wirral served by Northern Rail, but they don't seem to be in the right order?)

Not Birkenhead - you're headed in the right direction, but the answer goes a little further.
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stuving
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« Reply #7 on: September 14, 2021, 02:04:44 pm »

4 - Birkenhead (stations on the Wirral served by Northern Rail, but they don't seem to be in the right order?)

Not Birkenhead - you're headed in the right direction, but the answer goes a little further.

Then is it Chester, as the fourth (and last) Merseyrail (Wirral Line) terminus? But I've no idea what the chosen order is about.

PS: It's distance from Hamilton Square (or beyond), isn't it?
« Last Edit: September 14, 2021, 02:11:57 pm by stuving » Logged
grahame
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« Reply #8 on: September 14, 2021, 02:42:26 pm »

4 - Birkenhead (stations on the Wirral served by Northern Rail, but they don't seem to be in the right order?)

Not Birkenhead - you're headed in the right direction, but the answer goes a little further.

Then is it Chester, as the fourth (and last) Merseyrail (Wirral Line) terminus? But I've no idea what the chosen order is about.

PS: It's distance from Hamilton Square (or beyond), isn't it?

It is indeed Chester ... and the order is the typical sequence of departures from Liverpool ... it's not 100% the same all the time, but once the other three have left it's pretty much certain the next one will be to Chester!
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Oxonhutch
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« Reply #9 on: September 14, 2021, 03:45:58 pm »

5: DBG - Mottisfont & Dunbridge - next station in alphabetical order
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grahame
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« Reply #10 on: September 17, 2021, 08:33:51 am »

4 sequences worked out, 3 to go.   Anyone?

Next in the sequence, and why? (One each please)

1. 1877, 1969, 1984, 1992

2. 05:33, 07:20, 07:52

3. 1, 1, 2, 3, 5
Fibonacci series - 8 is next (Prestbury Road)

4. New Brighton, Ellesmere Port, West Kirby
Departures from Liverpool for the Wirral - Chester is next (Stuving)

5. MPK, MSO (Motor Standard Opens), MTH, MOT, MTG
Station codes in alphabetic order of station names - DBG is next (Oxonhutch)

6. Campaigner, Ranger, Champion
Surviving Westerns - Fusilier is next (Brooklea)

7. Beef, Duck, Hake
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Oxonhutch
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« Reply #11 on: September 17, 2021, 09:12:14 am »

... (One each please)

Is this a continuous restriction, or does the 24 hour override apply?
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grahame
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« Reply #12 on: September 17, 2021, 09:19:15 am »

... (One each please)

Is this a continuous restriction, or does the 24 hour override apply?

The 24 hours override applies through grandfather rights  Grin ... please do ahead and fill in the other(s)
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Oxonhutch
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« Reply #13 on: September 17, 2021, 09:28:19 am »

1: 1994, the fourth derailment at Morpeth, Northumberland - 1992 was a collision between two trains.
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brooklea
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« Reply #14 on: September 17, 2021, 09:32:13 am »

2. 10:02 Northbound train departures from Melksham on a weekday (although this doesn’t quite fit as the sequence would be 05:33, 07:20, 07:51, 10:02)
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