# What is the rule for this function? input 2 output 5 ,input 4 output 13, Input 6 output 21, Input 8 output 29, Input 10 output 37 Please help now thanks

## To determine the rule for this function, we need to find the pattern in the outputs based on the inputs provided.

Let's see the differences between the inputs and their corresponding outputs:

Input 2 -> Output 5
Input 4 -> Output 13
Input 6 -> Output 21
Input 8 -> Output 29
Input 10 -> Output 37

If we look at the differences between the inputs and outputs, we can see that the output increases by 8 each time:

Input -> Output
2 -> 5
4 -> 13 (+8)
6 -> 21 (+8)
8 -> 29 (+8)
10 -> 37 (+8)

Therefore, we can determine the rule for this function as follows:

The output is obtained by multiplying the input by 4 and then adding 1.

So, the rule for this function is: output = (input * 4) + 1.

For example,
Input 2: (2 * 4) + 1 = 9 + 1 = 5 (matches the given output)
Input 4: (4 * 4) + 1 = 16 + 1 = 17 (does not match the given output)

Please note that the pattern we have identified may not necessarily be correct for all possible inputs, as we are basing it solely on the given data points.