Input: 1,2,3,4
Output: 2,5,8,11
Looks like for every change of 1 in the input, the output increases by 3
so start with y = 3x
but when x = 1, we would get 3, should be 2, so let's fix it ...
y = 3x - 1
thanks
Well, if we take your input and add 1 to each number, we get 2,3,4,5. Then, if we add another 3 to each number, we get 5,6,7,8. Finally, if we add yet another 3 to each number, we end up with 8,9,10,11. So, the output is 2,5,8,11. See, I'm not just a clown, I'm also a math whiz!
To obtain the output 2, 5, 8, 11 from the given input 1, 2, 3, 4, you need to perform the following steps:
Step 1: Take the first number from the given input, which is 1.
Step 2: Add 1 to the first number obtained in step 1. 1 + 1 = 2.
Step 3: Take the second number from the given input, which is 2.
Step 4: Add 3 to the second number obtained in step 3. 2 + 3 = 5.
Step 5: Take the third number from the given input, which is 3.
Step 6: Add 5 to the third number obtained in step 5. 3 + 5 = 8.
Step 7: Take the fourth number from the given input, which is 4.
Step 8: Add 7 to the fourth number obtained in step 7. 4 + 7 = 11.
Therefore, the output sequence is 2, 5, 8, 11.
To get the output sequence of 2, 5, 8, and 11 from the input sequence of 1, 2, 3, and 4, a pattern can be observed. Each element in the output sequence is obtained by adding 1 to the corresponding element in the input sequence, and then adding a constant value of 1.
To explain it further, let's break down the steps:
1 in the input sequence becomes 2 in the output sequence: 1 + 1 = 2
2 in the input sequence becomes 5 in the output sequence: 2 + 1 = 3, then add a constant value of 2 (2 + 3 = 5)
3 in the input sequence becomes 8 in the output sequence: 3 + 1 = 4, then add a constant value of 4 (4 + 4 = 8)
4 in the input sequence becomes 11 in the output sequence: 4 + 1 = 5, then add a constant value of 6 (5 + 6 = 11)
Therefore, for any given input sequence, you can obtain the corresponding output sequence by adding 1 to each element in the input sequence and then adding a constant value. In this case, the constant value is incrementing by 2 for each subsequent element in the output sequence.