The numbers used to vote when planning are 0, 0.5, 1, 2, 3, 5, 8, 13, 20, 40, 100. Is there a meaning when those numbers are chosen? Why don't we just choose 1,2,3,4.. for the sake of simpliness?
The point is that as the estimates get bigger, they become less likely to be accurate anyway. There's no point in debating the merits of 34 vs 35 - at that point you're likely to be miles out anyway. This way just makes it easier: does this feel more like a 20-point task or a 40-point task? Not having the numbers between 21 and 39 forces you to make look at it in this "bigger" way. It should also be a hint that you should break the task down further before you come close to doing it.
All the details are explained here: http://en.wikipedia.org/wiki/Planning_poker
The sequence you give has been introduced by Mike Cohn in his book "Agile Estimating & Planning" (therefore the sequence is copyrighted, you need to obtain the permission to use it or you can also buy decks from his online shop).
The original planning poker sequence is a bit different and described he by his original inventor (James Grenning) : http://renaissancesoftware.net/papers/14-papers/44-planing-poker.html
This sequence allows you to compare backlog items to eachother. So it is imposible to say that some item is exactly two times bigger than other. Using this sequence you will always decide if it is more than two times bigger or less than two times.
For example: First Item is estimated as 3SP Now you are estimationg Second Item and someone said that it is two times "bigger" than First Item. Development tasks can't be exactly that same or exactle few times bigger or smaller. So you need to decide if it is bigger less than two times or more (it could be 5SP or 8SP).
If you have many estimated items in your backlog you can use this numbers for some stats. This stats works because Law of large numbers. http://en.wikipedia.org/wiki/Law_of_large_numbers
Using this sequence you are putting some uncertainty into that numbers so probability that this stats will work for you become higher.
Other simple answer for your question is: Mike Cohn chose this nubers after many experiments because they seams to work best in long period of time for various teams
All what I've wrote before is theory which has been created after experiments.
I've never seen that sequence used, the Fibonacci series (1 2 3 5 8 13 21 34) is more common. The idea is to avoid tricking yourself into thinking there is precision when there isn't.
Numbers on planning poker represent complexity of a task. You should not consider that a story with 8 as value is the double size in effort or time of a size 4 story for example. You could use as many different representations for these numbers as you want (like t-shirt sizes). You just need to have an idea that one value is more complex than another and there is another value that is even more bigger than it. The Planning Poker application attempt to illustrate this complexity with drawings related with number in order to help on this idea.
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