Final answer:
The 6th term of the sequence is found by identifying the pattern where each term is four times the previous term. By continuing this pattern, the 6th term is calculated to be 23,552.
Step-by-step explanation:
The sequence provided by the student is as follows: 23, 92, 368,... To find the 6th term, we need to establish a pattern or rule that applies to the terms of the sequence. After examining the sequence, it appears that each term is a multiple of the previous term. Specifically, 92 is 4 times 23, and 368 is 4 times 92. If this pattern continues, each term is 4 times the previous one.
Following this pattern, we calculate the subsequent terms as follows:
- 4th term: 368 * 4 = 1472
- 5th term: 1472 * 4 = 5888
- 6th term: 5888 * 4 = 23552
Therefore, the 6th term in the sequence is 23,552.