Find the fifth term and the nth term of the geometric sequence whose initial term, a, and common ratio, r, are given. a = 6; r = -4
O A. a5 = - 384; a, = 6( - 4)n-1
O B. a5 = 1,536; a, = 6(-4)
O c. ag = 1,536; a, = 6( - 4)"- 1
OD. a5 = - 384; an = 6(-4)"

Let f(x) = 3 − x . find the average rate of change of f(x) from x = a to x = a + h and simplify your answer so that no single factor of h is left in the denominator.

Which of the following would be a reasonable estimate for the weight of a pencil? a. 1 × 10^-20 lb b. 1 × 10^20 lb c. 1 × 10^2 lb d. 1 × 10^-2 lb

The bottom of ignacio's desktop is 74.5cm from the floor. ignacios sits in his adjustable chair, and the tops of his legs are 49.3cm from the floor. each clockwise rotation of the knob on the chair raises ignacio's legs by 4.8cm. write an inequality to determine the number of clockwise rotations, r, ignacio could make with the knob without his legs touching the desk.