the input is 1 output is 2 input is 2 output is 5 input is 3 output is 10 input is 4 output is 17 input is 5 output is 26 what is the rule

It's easier to see this way.

input is 1 output is 2
input is 2 output is 5
input is 3 output is 10
input is 4 output is 17
input is 5 output is 26

Do you see the pattern?

Think squares.

okay but what woulde be the rule

What do you think the rule is?

idk that is why i asked i have been up for 2 hrs trying to figure it out

plz

The input is squared and 1 added to make the output.

1^2 + 1 = 2
2^2 + 1 = 5
3^2 + 1 = 10

ty so much

You're very welcome.

okay new question.... The graph of 5x-2y=10 intersects the x-axis and the y-axis what are the ordered pairs for these two pairs of intersection A.(2,0) and (0,5)

B. (2,0) and (0,-5)
C.(-2,0) and (0,5)
D. (-2,0) and (0,-5)

To identify the rule that governs the given sequence, we need to analyze the pattern and observe how the output changes with respect to the input.

Let's break down the sequence step by step:

Input: 1 --> Output: 2
Input: 2 --> Output: 5
Input: 3 --> Output: 10
Input: 4 --> Output: 17
Input: 5 --> Output: 26

Looking at the outputs, we can notice that the difference between consecutive outputs increases by 3 each time. Specifically:

2 + 3 = 5
5 + 3 = 10
10 + 3 = 17
17 + 3 = 20

So, it seems that the increase in output is given by multiplying the input by 3 and then adding a constant value. Let's represent the rule as follows:

Output = (Input x 3) + constant

To find the constant value, we can substitute any input-output pair from the sequence into the equation. Let's use the first pair (1, 2):

2 = (1 x 3) + constant
2 = 3 + constant

Subtracting 3 from both sides, we find:

constant = -1

Therefore, the rule that governs the given sequence is:

Output = (Input x 3) - 1