Choose a relationship model that will reach $0 in the same number of days as this scenario:

mika has $12 and spends $2 each day
a. y = –2x – 12
b. y = –3x + 18
c. y = –4x + 12
d. y = –12x + 2

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→∞.