What's the next number 360, 180, 60, 15...?
360 divided by 2=180
180 divided by 3=60
60 divided by 4=15
15 divided by 5=3
so the answer is 3
3.
Note the trend in the ratio of successive terms: 1/2, 1/3, 1/4, ...
1/5 x 15 = 3
To determine the pattern in the given series of numbers (360, 180, 60, 15), let's look at the differences between the consecutive terms:
- The difference between 360 and 180 is 180.
- The difference between 180 and 60 is 120.
- The difference between 60 and 15 is 45.
Looking at these differences, we notice that they are decreasing by a constant factor each time:
- The difference of 180 decreased by a factor of 2 to become 120.
- The difference of 120 decreased by a factor of 3 to become 45.
Now, let's apply the same pattern to find the next number:
- The difference of 45 should decrease by a factor of 4 to give the next difference.
- Therefore, the next difference would be 45/4 = 11.25.
Finally, to calculate the next number, we subtract this difference from the last number in the series:
15 - 11.25 = 3.75.
Hence, the next number in the series is 3.75.
To find the pattern and determine the next number in the sequence, we can look for a common difference or ratio between the given numbers.
Let's examine the given sequence: 360, 180, 60, 15.
By dividing each number in the sequence by its preceding number, we can check if there is a consistent ratio:
180 ÷ 360 = 0.5
60 ÷ 180 = 0.3333 (approximately)
15 ÷ 60 = 0.25
The ratios are not consistent. However, if we look at the sequence in terms of its differences, we may find a pattern:
360 - 180 = 180
180 - 60 = 120
60 - 15 = 45
The differences appear to decrease by a constant amount each time. In this case, the difference decreases by 60, then 45. Following this pattern, we can assume that the next difference will be 30.
Now, let's find the next number by subtracting the next difference from the last number given:
15 - 30 = -15
Therefore, the next number in the sequence is -15.