Final answer:
The next four numbers in the sequence are 5/8, 3/4, 7/8, and 1. The sequence progresses by consistently adding 1/8 at each step.
Step-by-step explanation:
The sequence in question is increasing by an eighth each step. To find the next four numbers in the sequence after 1/8, 1/4, 3/8, 1/2, we simply continue to add 1/8 to the last number.
- After 1/2 add 1/8: 1/2 is equivalent to 4/8, so adding 1/8 gives us 5/8.
- Adding 1/8 to 5/8: 5/8 + 1/8 = 6/8, which simplifies to 3/4 since the numerator and denominator are both divisible by 2.
- Adding 1/8 to 3/4: 3/4 is equivalent to 6/8, so adding 1/8 gives us 7/8.
- After 7/8, adding 1/8 gives us 8/8, which is equal to 1, a whole.
Thus, the next four numbers in the sequence are 5/8, 3/4, 7/8, and 1. The pattern involves adding an eighth at each step or, in other terms, a consistent addition of 0.125 to the previous number when viewed in decimal form.
To find the next four numbers in the sequence 1/8, 1/4, 3/8, 1/2, we need to observe the pattern. Looking at the denominators, we can see that they are increasing by 1 each time. This suggests that the sequence is increasing by 1/8 each time. So, the next four numbers in the sequence are 5/8, 3/4, 7/8, and 1.