Chapter 637: Challenge (3)
Translator: Dragon Boat Translation Editor: Dragon Boat Translation
“Using this method, you can reduce the calculation by half, and then get the same sum for each pair. Then, you use multiplication to quickly calculate and get the result.”
“Right?” Lin Xiaoyue looked at the Sixth Princess.
This was also an algorithm that she had taught Liang Chengcai when she was teaching him multiplication.
At that time, she thought that there was no multiplication in this world. Later on, when her business expanded and she came into contact with the accountant, she realized that multiplication and division actually existed in this world.
However, there were not many people who knew about it, and even fewer people could use the multiplication table with ease.
Yes, this world also had a multiplication table. It was just that the recitation method wasn’t as concise as the 21st century.
The Sixth Princess listened to Lin Xiaoyue’s explanation and found that although she did not understand some words, she could still guess what Lin Xiaoyue expressed.
“Yes, that’s how 1 did it.” The Sixth Princess nodded.
“You mean, there’s a more convenient algorithm for this question?” She asked Lin Xiaoyue.
Lin Xiaoyue smiled and nodded.
“Of course there is.”
The Sixth Princess’s eyes lit up.
“How?” She asked hurriedly.
Because she was too excited, she even grabbed Lin Xiaoyue’s arm.
The expression on Lin Xiaoyue’s face quickly disappeared, and she looked down at the Sixth Princess’ hand.
The Sixth Princess smiled awkwardly and let go of Lin Xiaoyue.
“Why should I tell you?” Lin Xiaoyue continued.
The Sixth Princess’ expression changed.
Then, she thought of something and quickly said, “1-1’11 pay! 1,000 taels of silver, I’ll give you 1,000 taels of silver for you to tell me?” She looked at Lin Xiaoyue expectantly.
The two maids of the Sixth Princess and Zhao Shanshan beside Lin Xiaoyue were all shocked.
What? Another thousand taels?
Wasn’t the princess a little too generous? Wasn’t the young miss too good at earning money?
When Lin Xiaoyue heard that the Sixth Princess wanted to give 1,000 taels, her expression softened again.
“Sure.” Then, she reached out her hand to the Sixth Princess again.
The Sixth Princess’ face lit up. She immediately turned around and reached out to her servant girl.
The servant girl struggled.
“Princess-” She wanted to persuade her.
“What are you waiting for? Hurry up and bring it over!” Unexpectedly, before she could finish speaking, she was interrupted.
She took out her purse slowly and was about to take out the silver notes from it.
Unexpectedly, the Sixth Princess quickly reached out and snatched her purse.
Then, everyone saw the Sixth Princess take out all the silver notes from her purse.
After counting, she took out the one with the largest amount and handed it to Lin Xiaoyue.
Lin Xiaoyue looked at the remaining silver notes in the princess’ hand and revealed a look of pity.
After receiving the silver notes, she passed them to Zhao Shanshan.
Zhao Shanshan’s face lit up. She quickly put away the silver notes and put them in her purse.
This blissful look was a stark contrast to the look on the face of the Sixth Princess’ servant girl.
After receiving the money, Lin Xiaoyue walked to the table.
She placed the small notebook in her hand on the table and began to explain to the Sixth Princess.
“The so-called arithmetic progression is a series of numbers where the difference between each term and the previous term is equal to the same constant. This constant is called the tolerance of arithmetic progression.”
Seeing that the Sixth Princess did not understand, Lin Xiaoyue explained again, “for example, in this question, the second addition was three, and the third was five. If you used the second term to subtract the first term, the third term, the second term, or even the last term, the number would be the same. It’s all two.”
Seeing the Sixth Princess nod, Lin Xiaoyue continued, “this kind of sequence is called the arithmetic sequence. And two is the tolerance of this arithmetic progression.”
The Sixth Princess nodded again.
“There’s actually a quick calculation formula for such arithmetic progression. After adding the numbers, you can get the result directly.”
The Sixth Princess’ eyes lit up.
Only then did Lin Xiaoyue leave an extra line empty and start writing the arithmetic progression formula.
“That is, the sum of arithmetic progression is equal to the sum of the first and last terms, multiplied by the number of terms, and then divided by two.”
The Sixth Princess did not understand what Lin Xiaoyue was saying, but when she saw the calculations written on the paper, she understood. (Because Lin Xiaoyue used the writing style of this era.)
“For example, for this question, the first question is one, and the last question is 999. The total is 1,000.”
“After that, multiply 1,000 by 500, and you get 500,000.”
“Divide 500,000 by two, and you get the final number of 250,000..”