Determine the next geometric sequence number 1024,512,256,128
What pattern do you see?
To determine the next number in a geometric sequence, we need to identify the common ratio between consecutive terms. In this case, we can observe that each term is obtained by dividing the previous term by 2.
Let's demonstrate how to find the common ratio:
- Dividing 512 (the second term) by 1024 (the first term) gives us 0.5 as the ratio.
- Dividing 256 (the third term) by 512 (the second term) also gives us 0.5 as the ratio.
- Dividing 128 (the fourth term) by 256 (the third term) equals 0.5 as well.
Since the ratio between consecutive terms is consistent at 0.5, we can apply the same ratio to find the next term:
128 ÷ 2 = 64
Therefore, the next number in the geometric sequence is 64.