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.
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