Which of the following statements is true for the sequence with general term a sub n equals the quotient of the product of the quantities n plus 2 and the quantity n plus 4 and n raised to the 4th power , for n = 1, 2, 3…? (10 points)

Question

A) It is decreasing.
B) It is not monotonic.
C) It is divergent.
D) It is bounded above but not bounded below.

Answer 1

use the ratio test. If a_(n+1)/a_n < 1 it converges, since all the terms are positive. Also review the ratio test.