For the geometric series below, write out the first few terms of the series to find a and r, and find the sum of the series. Then express the inequality \left | r \right |<1 in terms of x and find the values of x for which the inequality holds and the series converges. \sum_{n=0 }^{\infty }(-5^)^{n}(x)^{n} . recomended to express the inequality\left | ? \right |<1 and the inequality holds and the series converges for ?

What is the quadric regression equation that fits these data

F(n + 1) = f(n) – 8. if f(1) = 100, what is f(6)?

Is there a direction u in which the rate of change of f(x,y)equals=x squared minus 3 xy plus 4 y squaredx2−3xy+4y2 at p(1,2) equals 14? give reasons for your answer. choose the correct answer below. a. no. the given rate of change is smaller than the minimum rate of change. b. no. the given rate of change is larger than the maximum rate of change. c. yes. the given rate of change is larger than the minimum rate of change and smaller than the maximum rate of change.