i think it's 20(1.01)^n, which is then added up with all the previous terms, and that is supposed to equal 600. I am having issues figuring out what n should be
Homework Statement
The total reserves of a nonrenewable resource are 600 million tons. Annual consumption, currently 20 million tons per year, is expected to rise by 1% each year. After how many years will the reserve be exhausted?
Part 2. Instead of Increasing by 1% each year, suppose...
oh okay, I see now. And since the Integral diverges, the series also diverges. Thank you so much. That helps explain quite a few problems that I have, but now they make sense
so as u increases, the integral equals zero?
I know I can use the integral test because f(x) is continuous, positive, and decreasing from 2 to infinity.
Homework Statement
Use the Integral Test to determine convergence or divergence of the series:
∞
Ʃ ln(n)^-4
n=2
Homework Equations
Integral Test
d/dx ln(x)=1/x
f(x)=ln(x)^-4
The Attempt at a Solution
I understand how to apply the Integral test. I just am...