input:1 output:4
input:2 output:7
input:3 output:10
input:4 output:13
What is the rule?
the rule is x3+1
Looks more like 3x+1
technically, since multiplication is commutative, x3 is the same as 3x, but you will find most people put the numeric coefficient first. . .
53
16564
21641
60
3
140.
2548
To find the rule that relates the given inputs and outputs, let's analyze the given examples:
Input: 1 → Output: 4
Input: 2 → Output: 7
Input: 3 → Output: 10
Input: 4 → Output: 13
As we look at the outputs, we see that they increase by 3 with each subsequent input. This indicates that there is a constant difference of 3 between the input and the output.
Hence, the rule can be defined as follows:
Subtract 1 from the input, and then multiply the result by 3 to get the output.
Using this rule, we can calculate the output for any given input.