The given sequence is 64, 16, 4. To find the 10th term, we first need to identify the pattern of the sequence.
Looking at the sequence, we can observe the relationship between the consecutive terms:
- 64 divided by 4 equals 16.
- 16 divided by 4 equals 4.
This indicates that each term in the sequence is obtained by dividing the previous term by 4. Therefore, we can express the terms of the sequence as:
- 1st term (a1): 64
- 2nd term (a2): 64 / 4 = 16
- 3rd term (a3): 16 / 4 = 4
Continuing this pattern, we can derive the subsequent terms:
- 4th term (a4): 4 / 4 = 1
- 5th term (a5): 1 / 4 = 0.25
- 6th term (a6): 0.25 / 4 = 0.0625
- 7th term (a7): 0.0625 / 4 = 0.015625
- 8th term (a8): 0.015625 / 4 = 0.00390625
- 9th term (a9): 0.00390625 / 4 = 0.0009765625
- 10th term (a10): 0.0009765625 / 4 = 0.000244140625
Thus, the 10th term of the sequence is 0.000244140625.