Recent content by Modulus85
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Mathematical Induction - Algebra Manipulation
I am trying to prove that: 2 - 2 * 7 + 2 * 7^2 - ... + 2(-7)^n = (1-(-7)^(n+1))/4 n is a non-negative integer I did the basis step I'm at the point where I need to prove P(k) -> P(k + 1) Therefore, swapping in k+1 for n on the right handside above yields: (1 - (-7) ^ (k + 2)) / 4 Now I need...- Modulus85
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- Forum: Precalculus Mathematics Homework Help
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Mathematical Induction - Algebra Manipulation
Homework Statement I am working on a mathematical induction problem, where I need to prove: (1 - (-7) ^ (k + 2)) / 4Homework Equations (1 - (-7) ^ (k + 1)) / 4 + 2(-7) ^ (k + 1) The Attempt at a Solution So I just need to add the two items in section two above. Now I know I need a common...- Modulus85
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- Algebra Induction Manipulation Mathematical Mathematical induction
- Replies: 5
- Forum: Precalculus Mathematics Homework Help
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Lotka-Volterra Equation Assistance
Homework Statement I'm working a problem that involves a predator-prey relationship scenario. There will be a total of 600 "steps" and I need to calculate the population count for each step. At this point, I'm just trying to calculate the prey population count for step one. It's been...- Modulus85
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- Assistance
- Replies: 6
- Forum: Calculus and Beyond Homework Help