The width of a certain rectangle is 2 inches more than a half of its length. Four times its width is 16 inches less than its perimeter. What are the dimensions of the rectangle?

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→∞.