Rhombus RSTU has vertices R(-1, 6), S(3, 7), T(2, 3), and U(-2, 2). If it's translated under the rule (x, y) LaTeX: \longrightarrow
⟶
(x+5, y-3), what is the coordinate for R'?

Use the ratio test to determine whether ∑n=14∞n+2n! converges or diverges. (a) find the ratio of successive terms. write your answer as a fully simplified fraction. for n≥14, limn→∞∣∣∣an+1an∣∣∣=limn→∞.