input output
2 11
_______ 20
_______ 35
7 26
15 50
5 23
how do i solve this?
To solve this problem, notice that there is a pattern between the input and output numbers. Let's try to identify the pattern:
If we observe the input numbers and their corresponding output numbers carefully, we can see that the output number is obtained by adding the square of the input number to the double of the input number.
Mathematically, the relationship can be expressed as follows:
Output = (Input x Input) + (2 x Input)
Let's apply this pattern to each input number to find the corresponding output number:
For the first input value of 2:
Output = (2 x 2) + (2 x 2) = 4 + 4 = 8
For the second input value of 20:
Output = (20 x 20) + (2 x 20) = 400 + 40 = 440
For the third input value of 35:
Output = (35 x 35) + (2 x 35) = 1225 + 70 = 1295
For the fourth input value of 7:
Output = (7 x 7) + (2 x 7) = 49 + 14 = 63
For the fifth input value of 15:
Output = (15 x 15) + (2 x 15) = 225 + 30 = 255
For the sixth input value of 5:
Output = (5 x 5) + (2 x 5) = 25 + 10 = 35
So, the corresponding output values are 8, 440, 1295, 63, 255, and 35, respectively.