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# Sequence problem. watch

1. I'd appreciate help with the following problem:

What is the next number in the following sequence?

100, 196, 484, 676, ?
2. Would it help to know that the term before 100 could be 36 and the one before that could be 16. Do you recognise those numbers?
3. Have you missed out 324 as a term by the way? If you haven't my advice stands. If you have the previous terms would be 4 and 36.
4. (Original post by Mr M)
Have you missed out 324 as a term by the way? If you haven't my advice stands. If you have the previous terms would be 4 and 36.
No, I have copied the sequence as it appears. I'm not sure I'm following your clues. However, I think I've found a method that works. It looks like the happy prime sequence +3 then squared. So the next number in the sequence would be 1020, is this what you made it?
5. (Original post by Chucklefiend)
No, I have copied the sequence as it appears. I'm not sure I'm following your clues. However, I think I've found a method that works. It looks like the happy prime sequence +3 then squared.
They don't need to be happy primes to generate that sequence but squaring primes is involved.
6. (Original post by Chucklefiend)
So the next number in the sequence would be 1020, is this what you made it?
I got 1156 and so does Sloane. That doesn't mean your sequence isn't valid. Gimme a second to check.

Edit: Actually I don't need to check as 1020 isn't square!!
7. (Original post by Chucklefiend)
However, I think I've found a method that works. It looks like the happy prime sequence +3 then squared.
196 = 14^2 = (11+3)^2 and 11 is not happy.
8. (Original post by ghostwalker)
196 = 14^2 = (11+3)^2 and 11 is not happy.
doh!
9. (Original post by Chucklefiend)
doh!
Just make a list of all the squares of the primes and take it from there.
10. The sequence is , , , . Not sure what that tells you...
11. (Original post by Dragon)
The sequence is , , , . Not sure what that tells you...
Not even with Mr M's last hint?
12. (Original post by Dragon)
The sequence is , , , . Not sure what that tells you...
Write down a list of primes.

Write down 10, 14, 22, 26 underneath.

Try to line the lists up in a way that makes sense.
13. (Original post by Dragon)
The sequence is , , , . Not sure what that tells you...
Well I can see why Mr M thought there was a value missing.
14. (Original post by Dragon)
The sequence is , , , . Not sure what that tells you...
It tells you the square numbers are having a party here
15. (Original post by boromir9111)
It tells you the square numbers are having a party here
A square dance?
16. (Original post by Mr M)
A square dance?
darn it, you always come out with the good ones
17. (Original post by Chucklefiend)
I'd appreciate help with the following problem:

What is the next number in the following sequence?

100, 196, 484, 676, ?
it's 10^2 14^2 22^2 26^2

i think sequence is missing 18^2 though

edit, this could be one of many sequences cos there aren't enough terms. I mean u could have gap of (+8)^2 after the 4th term or you could have (+4) ^ 2 etc
18. (Original post by blue_shift86)
it's 10^2 14^2 22^2 26^2

i think sequence is missing 18^2 though
Did you read the other posts?
19. (Original post by Mr M)
Write down a list of primes.

Write down 10, 14, 22, 26 underneath.

Try to line the lists up in a way that makes sense.
Ah I see it now. I just made that observation and didn't look into it much further.
20. (Original post by blue_shift86)
it's 10^2 14^2 22^2 26^2

i think sequence is missing 18^2 though
Post 12 may convince you otherwise.

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