Final answer:
The sixth term of the geometric sequence, which halves each successive term, is calculated to be 1.1875.
Step-by-step explanation:
The question appears to ask about the sixth term of a sequence where the given terms are 38, 19, and 9.5. Observing the pattern, each term is half the value of the previous term, indicating a geometric sequence with a common ratio of 0.5. To find the sixth term, we need to continue halving the value of each term from the third to the sixth.
- First term: 38
- Second term: 19 (38 × 0.5)
- Third term: 9.5 (19 × 0.5)
- Fourth term: 4.75 (9.5 × 0.5)
- Fifth term: 2.375 (4.75 × 0.5)
- Sixth term: 1.1875 (2.375 × 0.5)
Therefore, the value of the sixth term in the given sequence is 1.1875.