When asked to write the general term, when would I start it with n=0 or n=1? thanks
any help?
You don’t start anywhere. General term is just the nth term of a sequence or series, not the whole thing.
yeah so how do i know to start the general term at n=0 or n=1?
when trying to write it
just noticed that while having the general term begin with n=0 or n=1 will make different general terms, the interval of convergence will be the same. Would I lose points for doing either way if I come out with the correct answer, but I started the general term with n=0 instead of n=1?
I don’t understand your question. “General term” is something like 1/n, for example. There is no n=0 or n=1 in this expression, just plain n.
So on the frqs you’re asked to write the first four nonzero terms and then write a general term based on those terms. So pretty much you try to find that general term that fits with those first 4 terms. You can either try to make the general term fit with starting at n=0 or n=1. ex: for a term (x) the general term could be x^n+1 (starting at n=0) or x^n (starting at n=1). I’m not sure which one to do on the AP because sometimes the scoring guidlines has the general term at n=0 but more recently at n=1.
I noticed that even if you use n=0 and the scoring guidelines have n=1, the general terms don’t match but the interval of convergence will. I also wanted to know if you pursue this, will you get full credit?
Oh, is this about Taylor series? Sorry I didn’t understand at first what it’s about, I’m not that familiar with Calc BC so I had to look up the frqs. General term in Taylor series normally involves (x-a)^n, and the series starts with n=0 (a constant). I haven’t found the guidelines which have n=1 so I’m not sure why that would be so.
Haha yeah. A bunch of the more recent ones use n=1, older use n=0.
Thanks though.