how do you solve a question like this:
(0,1,3,4) (-3,1,9,13
hard to say, since there's no question.
what do the numbers represent? vectors, quaternions, sets, what? There are lots of ways to interpret a 4-tuple of numbers.
To solve a question involving a series of numbers or a sequence, you need to identify the pattern or relationship between the given numbers. Once you understand the pattern, you can continue the sequence and find the missing values.
Let's analyze the given sequence: (0, 1, 3, 4), (-3, 1, 9, 13).
First, let's focus on the first sequence: (0, 1, 3, 4).
Looking at the numbers, we can see that each subsequent number is obtained by adding a specific value to the previous number. Let's examine the differences between consecutive terms:
1 - 0 = 1
3 - 1 = 2
4 - 3 = 1
From this analysis, we can observe that there is an increasing pattern in differences: 1, 2, 1. Therefore, to get the next difference, we add 2 to the previous difference:
1 + 2 = 3
Then, to obtain the next number in the sequence, take the last number (4) and add the new difference:
4 + 3 = 7
Now, let's examine the second sequence: (-3, 1, 9, 13).
Similar to the first sequence, we need to find the difference between consecutive terms:
1 - (-3) = 4
9 - 1 = 8
13 - 9 = 4
Here, we again have a repeating pattern in the differences: 4, 8, 4. Adding 8 to the previous difference will give us the next difference: 4 + 8 = 12.
Finally, taking the last number (13) and adding the new difference:
13 + 12 = 25
Therefore, the next numbers in the sequence are 7 and 25, resulting in the complete sequence:
(0, 1, 3, 4, 7, 25).