Question

Find the thirtieth term of the

geometric sequence for which the
tenth term is 512 and the fifteenth
term is 16,384.

Answer 1

536 870 912

Explanation:

find r the common ratio

from 10th to the 15th term is 5 ratios

512 * r^5 = 16384

r = 2

from 10th to thirtieth is 20 ratios

512 * 2^20 = 536970912