I have a homework assignment from my calc. 2 class and one of the problems is really difficult for me. I am supposed to come up with a general formula for the summation from k = m to n of [(-1)^k^2][x^2k].
I don't want the answer, but I don't know where to begin.
I'm pretty sure I have to manipulate it into a simple geometric sum with only k as an exponent, but the algebra is working up my nerves.
Thanks in advance for the help
Also, is there a general rule or method for handling summations involving multiplication?
thanks a lot, I ended up with
((-x^2) - (-x^2)^(n + 1))/(1 - (-x^2)) - ((-x^2) - (-x^2)^(m - 1))/(
1 - (-x^2))
I hope thats right
P.S. what program or application do you need to be able to write in mathematical equations or symbols?
I just realized a much simpler method and got the answer
((-x^2)^m - (-x^2)^(n + 1))/(1 - (-x^2))
which is equivalent to my previous answer