Chapter 638: Winning Money (1)
Translator: Dragon Boat Translation Editor: Dragon Boat Translation
The Sixth Princess followed Lin Xiaoyue’s calculations and nodded as she listened and watched.
“This formula is valid for the sum of all arithmetic progression. You can come up with your own questions now and try to solve them.” Lin Xiaoyue said.
The Sixth Princess glanced at Lin Xiaoyue, half-believing.
Then, she picked up the brush and began to calculate.
After calculating several questions in a row, she found it was indeed the same as what Lin Xiaoyue had said. The Sixth Princess was shocked and impressed.
Lin Xiaoyue waited until the Sixth Princess stopped writing before she continued. “Besides this formula, there’s another one.”
“What other formulas are there?” The Sixth Princess was immediately interested.
“In addition to the calculation method just now, the sum of the arithmetic progression is also equal to the sum of the first term multiplied by the number of terms, plus the number of terms multiplied by the number of terms minus one, multiplied by the tolerance divided by two.”
“Now, you can calculate according to this formula.”
The Sixth Princess quickly did as she was told.
After a while, the results were still the same.
At this moment, the Sixth Princess’ gaze towards Lin Xiaoyue had already turned into admiration.
She was indeed a master of arithmetic! A master among masters!
No wonder Mr. Liang praised her so much.
Lin Xiaoyue was happy.
“Looking at your wallet, you probably only have 1,000 taels of silver left. I’ll give you a question now. If you answer it correctly, I’ll return you 1,000 taels. If you get it wrong, then the challenge will end here.”
Unfortunately, she only brought 3,000 taels of silver.
Otherwise, she would probably make a fortune today.
The Sixth Princess looked at the purse in her hand and nodded.
Just the arithmetic progression knowledge that Mrs. Li had taught her just now would take her a lot of time to absorb and organize.
If she were to learn more today, she wouldn’t be able to handle it.
She couldn’t bite off more than she could chew. Anyway, Madam Li still had to stay here for a few days, so she had plenty of opportunities.
Oh, right, after returning, she had to send someone back to back to get more money.
Otherwise, Madam Li might not have “sparred” with her again without any rewards.
Thinking about how she could learn mathematics from Madam Li in the future, the Sixth Princess felt excited.
The maid who was helping the Sixth Princess with the money heaved a sigh of relief.
She only had 1,000 taels of silver left. Otherwise, her princess would have lost all her money today.
Only this servant girl did not know what her princess was planning. Otherwise, she would be so angry that she would vomit blood.
Lin Xiaoyue went to the table and picked up the pen while thinking.
Then, she began to write.
The Sixth Princess had come into contact with multiplication and division before and had a certain foundation in arithmetic. She was really worried that she would not be able to challenge her with general questions.
Initially, Lin Xiaoyue wanted to come up with a 2-variable linear equation problem.
However, after thinking about it, she increased the difficulty and came up with an application question for the 3-variable linear equation.
In this era, there was no such mathematical method as solving equations. The probability of the Sixth Princess solving the answer withinis minutes was not high.
“I’ve thought of the question.” Lin Xiaoyue suddenly said.
The Sixth Princess immediately came over.
Lin Xiaoyue opened her notebook.
“I’ll read it, you write it. You can solve the questions after you finish writing them. The time spent on writing is not included. I’ll give you another 15 minutes after you finish writing.” Lin Xiaoyue said.
Her handwriting was really ugly, so it was better not to embarrass herself.
When the Sixth Princess heard this, she felt that writing the questions herself was equivalent to reading them. The time spent on writing the questions was not included. It was more beneficial to her.
She immediately agreed.
“Deal!”
“There was a shop assistant who went to the same grocery store to buy things for three consecutive days. Every time, he bought three items. On the first day, he bought two Item A, one Item B, and one Item C. He spent a total of 17 wen.”
“On the second day, he bought one Item A, two Item B, and one Item C. He spent a total of 14 wen.”
“On the third day, he bought one Item A, one Item B, and two Item C and spent a total of 13 wen.”
Lin Xiaoyue controlled the speed of her talking so that the Sixth Princess could keep up with her narration.
The Sixth Princess wrote quickly and didn’t miss anything. However, the more she wrote, the more serious her expression became.
She felt that she might not be able to handle this question.
“On the fourth day, the shop assistant had to pay the bill. Only then did he
remember that he had forgotten the price of each item..”