trying to think of an easier way, nothing is coming to mind... doesnt look like you can manipulate this to be a geometric series in any way.
I will tell you that my old graphic calculator would do a summation for you, up to a certain bound...
I'm having problems with this question
Estimate to within .01
I know I can use the integral test with my remainder estimate being .01 but it would take such a large number to find the answer.
I would have to sum up 40,000 terms to get it to that accuracy
Is there another way to do this? Thanks in advance
You might be able to apply the Euler-Maclaurin Summation Formula:
Euler?Maclaurin formula - Wikipedia, the free encyclopedia
OK, think back to elementary calculus. A definite integral is really an infinite sum of the trapezoids made under the curve. The sum of terms of therefore can not be any greater than an integral with the same limits. Evaluate the integral and you have an upper bound for the sum.