anonymous
  • anonymous
Cosider stellar (star) shapes with p vertices, leading to p-stellar numbers. The first four representations for a star with six vertices follows an increment of 12. For example, S2 = 12, S3 = S2 + 24, S4 = S3+ 36. S1 = 1. Find a general statement for the 6-stellar number at statage Sn in terms of n in function notation.
Mathematics
  • Stacey Warren - Expert brainly.com
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jamiebookeater
  • jamiebookeater
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anonymous
  • anonymous
And hence, produce a general statement, in terms of p and n, that generates the sequence of p-stellar numbers for any value of p at stage Sn.
anonymous
  • anonymous
for a 6 -stella number at stage \[s_{n}\] in terms of n, i got \[6n ^{2}-6n+1\] bur i cant figure out a general formula in terms of p and n, that generates the sequence of p-stella numbers for any value of p at stage \[s_n\]. Help please...
KingGeorge
  • KingGeorge
Just a random guess, but have you tried to prove \(pn^2-pn+1\)?

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anonymous
  • anonymous
no i havent
KingGeorge
  • KingGeorge
I'm not exactly sure of how to prove it, but there is some nice information about this on the web. http://www.scribd.com/doc/45851980/38159924-MATH-Portfolio-I-Stellar-Numbers Has a particularly in-depth explanation.
anonymous
  • anonymous
THANKS!! that's exactly what im doing for my IB Math class!
KingGeorge
  • KingGeorge
IB SL or HL?
anonymous
  • anonymous
Math Studies HL
KingGeorge
  • KingGeorge
Nice. I did HL a couple years back.
anonymous
  • anonymous
thank you :)
KingGeorge
  • KingGeorge
You're welcome.

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