Identify the 19th term of a geometric sequence where a1 = 14 and a9 = 358.80. Round the common ratio and 19th term to the nearest hundredth.

a. a19 ≈ 9,195.53

b. a19 ≈ 31,035.73

c. a19 ≈ 13,185.66

d. a19 ≈ 20,690.

a19 = 14 * 1.5^ (19-1)

a19 ≈ D: 20,690.49

The formula of geometric sequence is expressed in the following manner:

an = a1 * r^ (n-1) where r is the ratio and n is an integer.

Substituting, to find r

358.80 = 14 * r^ (8)

r is equal to 1.5

hence,

a19 = 14 * 1.5^ (19-1)

a19 ≈ 20,690.