Question

How to combine these two power series?

Answer 1

\[\sum_{n=0}^{\infty}C_n*x^(n+1) + \sum_{n=0}^{\infty}D_n*x^n\]

Answer 2

the parser is messed up the first one, the x term on the first one is x^(n+1).

Answer 3

just think of the second one as
\[Dn+\sum_{n=0}^{\infty} Dn*x ^{n+1}\]

Answer 4

the Dn is D0 (initial one)

Answer 5

So you place D_0 outside, but what about D_n inside, wouldn't that need to be D_(n+1)? Not just D_n?

Answer 6

ya it shuld be D_n+1

Answer 7

\[\sum_{n=0}^{\infty}C_n*x^(n+1) + D_0 + \sum_{n=0}^{\infty}D_k*x^k | (where: k=n+1)\] Is basically the answer right?

Answer 8

I think a I got it now, thanks for your help, I was really stuck. =D