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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 − ...

TT
Answered by Tadas T. MAT tutor
6662 Views

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 p...

YA
Answered by Yasmin A. Economics tutor
8534 Views

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 p...

VJ
2310 Views

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 DREAMPANTSMouri...

EK
Answered by Ellen K. French tutor
3668 Views

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...

PW
Answered by Phoebe W. Latin tutor
2899 Views

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