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    I'd appreciate help with the following problem:

    What is the next number in the following sequence?

    100, 196, 484, 676, ?
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    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?
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    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.
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    (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?
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    (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.
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    (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!!
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    (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. :sad:
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    (Original post by ghostwalker)
    196 = 14^2 = (11+3)^2 and 11 is not happy. :sad:
    doh!
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    (Original post by Chucklefiend)
    doh!
    Just make a list of all the squares of the primes and take it from there.
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    The sequence is 10^2, 14^2, 22^2, 26^2. Not sure what that tells you...
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    (Original post by Dragon)
    The sequence is 10^2, 14^2, 22^2, 26^2. Not sure what that tells you...
    Not even with Mr M's last hint?
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    (Original post by Dragon)
    The sequence is 10^2, 14^2, 22^2, 26^2. 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.
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    (Original post by Dragon)
    The sequence is 10^2, 14^2, 22^2, 26^2. Not sure what that tells you...
    Well I can see why Mr M thought there was a value missing.
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    (Original post by Dragon)
    The sequence is 10^2, 14^2, 22^2, 26^2. Not sure what that tells you...
    It tells you the square numbers are having a party here
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    (Original post by boromir9111)
    It tells you the square numbers are having a party here
    A square dance?
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    (Original post by Mr M)
    A square dance?
    darn it, you always come out with the good ones
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    (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
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    (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?
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    (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.
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    (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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