Understanding the Process of Formula Transformation

Asked 2 years ago, Updated 2 years ago, 155 views

This is about the formula below.
I don't understand the process of transforming from the formula above to the formula below and the mathematical properties.
I'm ashamed that I'm not good at math, but I'd appreciate it if you could explain it to me.

formula

▼ Where I don't understand
I didn't understand the part where 1/n^2 がn below becomes 1/n 11 (line 1 and line 2 of the image below).
Also, regarding the final expression, the addition through sigma is on the left side of the sigma (is it okay to recognize that 1/n^2 can be added to each other this time)?It may be obvious, but I'm not good at math and I didn't understand it.

Enter a description of the image here

Reference: New Information/Communication Systems Engineering Data Structure and Algorithms

algorithm mathematics

2022-09-30 19:10

1 Answers

For the time being, I made an explanation assuming that I could understand what I had learned in high school.
Enter a description of the image here
If you have any questions, please ask me again.

/Additional information on March 18 at 19:25 <
In the description image, the first in the third line is 1 to n-1, but 0 to n-1.I'm sorry.

/Additional information on March 200 07:40 <
The latter of the two questions answered, imagining that they were probably asking this question.
If that imagination is wrong, please ask me another question.
Enter a description of the image here


2022-09-30 19:10

If you have any answers or tips


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