The ratio of the number of dogs to the number of cats is 4:5. There are 270 animals on the rescue farm. Are there exactly 30 more cats than dogs? Explain whether the statement is true or false and why?

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→∞.