Consider the sequence defined bya1=1an+1=2an−4Find the next three terms (a2, a3, a4) of the sequence.

Categorize the following plant organ modifications with the matching organ.

(10 points) Evaluate the following integral by using integration by parts (IBP).    

First, prove that the following series converges. Second, calculate the number of terms n that must be added in order to find the sum to within 0.01 and type your answer into the answer box. ∑ n = 1 ∞ ( − 1 ) n 4 n 2 {“version”:”1.1″,”math”:”\sum\limits_{n=1}^\infty (-1)^n \frac{4}{n^2}”}

First, prove that the following series converges. Second, calculate the number of terms n that must be added in order to find the sum to within 0.01 and type your answer into the answer box. ∑ n = 1 ∞ ( − 1 ) n 4 n 2 {“version”:”1.1″,”math”:”\sum\limits_{n=1}^\infty (-1)^n \frac{4}{n^2}”}

Which condition is most likely if a young child presents with fatigue, irritability, and pallor, and lives in an older home?

Provide 3 differential Dx for the following situation:   B. Sore throat

Sara et Noah ______ la table quand Daniel a téléphoné. (mettre)

Does the following series converge or diverge? State which test you use and show all work. ∑ n = 1 ∞ ( 1 e + 4 n ) n {“version”:”1.1″,”math”:”\sum\limits_{n=1}^\infty \left(\frac{1}{e} + \frac{4}{n}\right)^n”}

Consider the following set of parametric equations: x ( t ) = 4 t y ( t ) = 8 t + 5 {“version”:”1.1″,”math”:”\begin{align*} x(t) &= 4\sqrt{t} \\ y(t) &= 8t+5 \end{align*}”} Part A — 5 points Find the derivative dydx{“version”:”1.1″,”math”:”dydx”} in terms of t{“version”:”1.1″,”math”:”t”} using parametric differentiation methods. Write your answer in the first answer box. Part B — 5 points Eliminate the parameter t{“version”:”1.1″,”math”:”t”} to obtain an equation for y{“version”:”1.1″,”math”:”y”} in terms of x{“version”:”1.1″,”math”:”x”}. Write your answer in the second answer box. Note: This part does not utilize the result from Part A. Part C — 5 points Using the original parametric equations as a reference, convert your answer from Part A from a function of t{“version”:”1.1″,”math”:”t”} to a function of x{“version”:”1.1″,”math”:”x”}. Separately, take a standard derivative of your answer from Part B. Compare these two results and comment (with a sentence) what you notice.