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.

Question

anonymous · Answer

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 · Answer

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 · Answer

Just a random guess, but have you tried to prove $pn^2-pn+1$?

anonymous · Answer

no i havent

kinggeorge · Answer

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 · Answer

THANKS!!
that's exactly what im doing for my IB Math class!

kinggeorge · Answer

IB SL or HL?

anonymous · Answer

Math Studies HL

kinggeorge · Answer

Nice. I did HL a couple years back.

anonymous · Answer

thank you :)

kinggeorge · Answer

You're welcome.