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The sequence xn is given by the formula x_n = n^3 − 9n^2 + 631. What is the largest value of n for which x_n > x_(n+1)?

We know that x_n > x_(n+1) is true if and only if x_n - x_(n+1) > 0 is true.So x_n - x_(n+1) = (n^3 − 9n^2 + 631) − ((n + 1)^3 − 9(n + 1)^2 + 631) = (n^3 − n^3 − 3n^2 − 3n − 1) − 9(n^2 − n^2 − 2n − 1) ...
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Answered by Tadas T. • MAT tutor
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What is the law of diminishing (marginal) returns?

This a fundamental for theory of the firm. It explains the shape of the marginal product (MP) curve! Formal Definition: When one or more factors are held fixed, there will come a point beyond which the extra...
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Answered by Yasmin A. • Economics tutor
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Do I need to have shadowed a GP before applying?

In short, no. It's an unfortunately common myth that shadowing a GP is essential for a successful application but this is very much not the case. Basically, what a medical school wants to see in your persona...
VJ
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How do I know when to use etre as an auxilliary verb in the perfect tense?

There are a list of set verbs which always take the verb etre as their auxilliary in the perfect tense which you will need to learn. To help you remember them you can use the mnemonic MR V DREAMPANTSMourirRe...
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Answered by Ellen K. • French tutor
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When should I use the subjunctive case?

- in wish clauses: utinam + sub, utinam ne (when -ve) + subjunctive, vellem + imperfect/pluperfect subjunctive -indirect question (he asked what I had eaten for dinner): he asked would be indicative, I had e...
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Answered by Phoebe W. • Latin tutor
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