To find the next number in the sequence 10, 5, 2.5, 1.25, let's analyze the pattern.
1. We start with 10.
2. To get from 10 to 5, we divide by 2 (10 / 2 = 5).
3. To get from 5 to 2.5, we divide by 2 again (5 / 2 = 2.5).
4. To get from 2.5 to 1.25, we divide by 2 once more (2.5 / 2 = 1.25).
We can see that each term in the sequence is obtained by dividing the previous term by 2.
Now, let's find the next term:
- The last term given is 1.25.
- To find the next term, we divide 1.25 by 2.
[tex]\[ \frac{1.25}{2} = 0.625 \][/tex]
So, the next number in the sequence is:
C. 0.625
