Sequences: What could be the next number for 2, 10, 202,...?

it would help to have the sequence in some kind of context... like what are you studying, although some more terms would be best...
 
There are an infinite number of possibilities, particularly when you use the word "could".
 
And I don't see any immediate correlation between those three terms... I could make something up that make it evident that 202 being after 10 is the best option, but I can't prove that any number after 202 is going to be a specific number.

John
 
Re: Sequences: What could be the next number for 2, 10, 202,

pecan_tart said:
What could be the next number in this sequence?

2, 10, 202
Click to expand...
2, 10, 202, 408,042, (n-2)(n-1)^2 + (n-2)

Could be???

No doubt there are many others.
 
Re: Sequences: What could be the next number for 2, 10, 202,

pecan_tart said:
What could be the next number in this sequence?

2, 10, 202

Thanks :)
Click to expand...

Pick a number - any number - and it could be fitted in.
 
that was all that was specified...that is the exact same question....ahhh
thanks though for your help

this question is for extra credit...it has nothing to do with what i'm studying now
 
pecan_tart said:
that was all that was specified...that is the exact same question....ahhh
thanks though for your help

this question is for extra credit...it has nothing to do with what i'm studying now
Click to expand...

If it is for extra credit, rather than just picking any number greater than 202, my recommendation would be to create an algorithm that can be used to show that the next number after 202 is a logical fit for the next term in the sequence.

John
 
pecan_tart said:
What could be the next number in this sequence?
2, 10, 202
Click to expand...
jwpaine said:
If it is for extra credit, rather than just picking any number greater than 202, my recommendation would be to create an algorithm that can be used to show that the next number after 202 is a logical fit for the next term in the sequence.
Click to expand...
Come on both of you!
Why are you both falling for a meaningless question?
If the sequence site that I gave you finds no solution then this is purely a made-up question. Who ever wrote the question thinks that he/she has the secret solution.
It is not mathematical, but it is purely personable.
 
pka said:
pecan_tart said:
What could be the next number in this sequence?
2, 10, 202
Click to expand...
jwpaine said:
If it is for extra credit, rather than just picking any number greater than 202, my recommendation would be to create an algorithm that can be used to show that the next number after 202 is a logical fit for the next term in the sequence.
Click to expand...
Come on both of you!
Why are you both falling for a meaningless question?
If the sequence site that I gave you finds no solution then this is purely a made-up question. Who ever wrote the question thinks that he/she has the secret solution.
It is not mathematical, but it is purely personable.
Click to expand...

I'm not falling for anything. The problem is not mathematical as there is no one "correct" solution for the next term. However, the teacher that assigned this problem either doesn't know math, or he/she wants the student to be creative and imaginative.

The student CAN be imaginative and create an algorithm that satisfies the three terms and allows the student to produce a value using their algorithm, for the next consecutive term. It could be fun and educational rewording, the student could explore the topic of recursive formulas.

My opinion, I welcome others. :D
John.
 
Just to point out how utterly silly these questions are, I came up with a few.

2, 10, 202, 150, 75, 23

This is a six year history of known crack dealers in the Mount Washington region of Pittsburgh. They passed new ordinances late in the third year and implemented a specialtask force one year later than that. It seems to be working. Only time will tell how the squence continues. (Note: I made this up. I have no information concerning crack dealers anywhere near Mount Washington.)

2, 10, 202, 1010, 20202, 101010

We're just playing with 0, 1, and 2. Alternate between 1) multiply by 5 and 2) Add 1 and multiply by 2.

2, 10, 202, -2

Pierre demands homage. He just likes -2. Why not? For justification, you can say, "I asked my friend and this is what he said." Of course, it would help if your friend actually were Pierre.
 
Ya'll missed it: that's 2 Oct 202 so 666 is next term:
that's when Pope Benedictumanasus introduced The Beast,
to scare a few believers into higher depositing in the collection basket...
 
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