in- 0 1 2 3 4 X

out- 1 4 10

0's output is 1 and 1's output is 4, then 3's output is 10....wat is the rule to this???
and wat are the outputs for 2, and 4?

To find the rule for this sequence, we need to look for patterns in the input and output values. Let's examine the differences between the input values (0, 1, 2, 3, 4) and the corresponding output values (1, 4, 10).

The difference between 1 and 0 is 1 (1 - 0 = 1).
The difference between 4 and 1 is 3 (4 - 1 = 3).
The difference between 10 and 4 is 6 (10 - 4 = 6).

We can observe that the differences between consecutive output values (1, 3, 6) are increasing by 2 each time.

Now, let's find the differences between the input values:
The difference between 1 and 0 is 1 (1 - 0 = 1).
The difference between 2 and 1 is 1 (2 - 1 = 1).
The difference between 3 and 2 is 1 (3 - 2 = 1).
The difference between 4 and 3 is 1 (4 - 3 = 1).

The differences between the input values are constant and equal to 1.

Based on these observations, it seems that the rule for this sequence is to multiply the input value by the difference between the output values, and then add a constant value.

Let's use the formula: output = (input * difference) + constant

Substituting the given values, we have:

For input 0:
output = (0 * 1) + constant
Since the output is 1, we can solve for the constant:
1 = (0 * 1) + constant
1 = 0 + constant
constant = 1

For input 1:
output = (1 * 1) + 1
output = 2

For input 2:
output = (2 * 3) + 1
output = 7

For input 3:
output = (3 * 3) + 1
output = 10

For input 4:
output = (4 * 3) + 1
output = 13

So, the outputs for inputs 2 and 4 are 7 and 13, respectively.