Final answer:
The given sequence is a geometric sequence. By finding the common ratio, we can determine the next terms by multiplying the previous term with the common ratio.
Step-by-step explanation:
The given sequence is: 29, 121, 453, 1,482, 3,466, 6,878, 11,987, 16,162, 20,868, 27,591, 31,335, 36,560, 41,055, 44,730, 49,095, 49,456, 38,510.
- The common ratio can be found by dividing any term by its previous term. For example, the common ratio between the second and third terms is 453/121 = 3.75.
- To find the next term, multiply the previous term by the common ratio. For example, to find the 17th term, multiply the 16th term (49,456) by the common ratio (3.75).
- Repeat the process to find the 18th and 19th terms.
Therefore, the next three terms of the geometric sequence are 49,456 * 3.75 = 185,910, 185,910 * 3.75 = 697,912.5, and 697,912.5 * 3.75 = 2,616,916.25.