Question

Power Series...

Answer 1

@eliassaab pls help me again...

Answer 2

spose the coeffs are a,b,c

a + bx + cx^2
+ ax^3 + bx^4 + cx^5
+ ....
----------------------
aM + bN + cP

\[M=\sum x^{3n}\]
\[N=x\sum x^{3n}\]
\[P=x^2\sum x^{3n}\]

is my original thought ...

Answer 3

but thats all i have time to play with it :/ good luck

Answer 4

i have a bit more time, and the solution is pretty simple from there.

Answer 5

\[a\sum (x^3)^n+bx\sum (x^3)^n+cx^2\sum (x^3)^n\]
\[(a+bx+cx^2)*\sum (x^3)^n\]
\[(a+bx+cx^2)*\frac{1}{1-x^3}\]

Answer 6

should be able to be generalized to "k" repeating coeffs

Answer 7

Thanks! That helped me/ us a lot:)))