input 2,4 and 10 output 5,9 and 21 I do not get it at all please help me.
Input + 2n + 1 = Output
Sorry again but what does 2n mean. Thank you.
2n = 2 times n
(2 * 2) + 1 = 5
(4 * 2) + 1 = 9
(10 * 2) + 1 = 21
output = 2 n + 1
if n = 2,
output = 2*2 + 1 = 5
if n = 10
output = 2*10 + 1 = 21
Thank you Ms.Sue and Damon you guys really have helped me a lot.
To understand the relationship between the input and output values you provided, we can look for a pattern or a rule that connects them.
Given the inputs 2, 4, and 10, and their corresponding outputs 5, 9, and 21, let's examine the differences between consecutive inputs and outputs:
- The difference between 2 and 4 is 2.
- The difference between 4 and 10 is 6.
Similarly, let's examine the differences between consecutive outputs:
- The difference between 5 and 9 is 4.
- The difference between 9 and 21 is 12.
By observing these differences, we can determine that the relationship between the input and output values is not a simple arithmetic progression, where we add a fixed number to each input to get the corresponding output.
Instead, it seems like each output is generated by multiplying its corresponding input by a certain factor:
- To get from 2 to 5, we multiply 2 by 2.5.
- To get from 4 to 9, we multiply 4 by 2.25.
- To get from 10 to 21, we multiply 10 by 2.1.
To confirm this pattern, let's calculate the corresponding values for the inputs 2, 4, and 10:
- To get the first output, multiply 2 by 2.5: 2 * 2.5 = 5
- To get the second output, multiply 4 by 2.25: 4 * 2.25 = 9
- To get the third output, multiply 10 by 2.1: 10 * 2.1 = 21
Therefore, the relationship between the inputs 2, 4, and 10 and their corresponding outputs 5, 9, and 21 is based on multiplying each input by a factor specific to each input. In this case, the factor seems to decrease slightly as the input values increase.