Math AI Tutor

FOR HIGH SCHOOL

Correct Answer . Read the explanation below

FUNCTION is a common core content. The concept of how to write mathematical equation to represents the rule for finding the nth term of a number sequence is a common core topic because students are expected to continually return to these mathematical principles.

The State expected high school students to master how to write mathematical equation to represents the rule for finding the nth term of a number sequence. Teacher must encourage their students to learn how to analyze a given problem, determine the question(s) to be answered, determine how to represent the problem, learn how to do critical thinking by always asking why is your answer valid and reasonable, and finally developing communication skills in explaining their reasoning process even if their answer is wrong. By doing this teacher will see what their student's forget to consider during their thinking process while solving a problem. Then all students will benefit during classroom discussion. For example extracting quantitative information from word problem and be able to discover the pattern how to solve it, similar to the problem shown below are important skills to learn. These are the skills that the teacher will have opportunity to share with their students to convince them that learning math is very useful in their daily life. For students, be thankful to your teacher that is preparing you to master many skills simultaneously that you needed in 21st century working environment, where many solved and repetitive task will be automated using artificial intelligence but not common sense, critical thinking ability and higher order thinking like analysis, synthesis, recommendation, evaluation, imagination, and creativity.

What is a recursive formula? Recurvise formula is the formula you discover after studying the behavior of a given series of number. The arithmetic rule that you discover is also called algorithm because it involves repeating the same rules recursively (meaning again and again) until you arrive to the numbers that you are interested to find out.

Why are you in training at school to master this mathematical skill of discovering recurvsive formula? Because most of the materials and system that you see and use in your daily life behave in a predictable manner that can be represented by a series of number. The people who are trained to discover this recursive formula are usually inventor, scientist, mathematician, engineer, computer programmer, and anybody even not a college graduate but taught themselves mathematics and science. Two of my favorite example of self-taught persons are Thomas Alva Edision and Konstantin Eduardovitch Tsiolkovsky, the grand daddy of russian space exploration and rocket science. Both of them experienced scarlet fever that caused their deafness that prevent them to attend formal schooling. Both of them taught themselves by using local libraries of their time. Now you have internet and tutorial that can help you to understand recursive formula.