Conjecture based on limited trail followed by inductive proof

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Posted on 16 Aug 2022, this text provides information on Syllabus Queries related to Course Queries. Please note that while accuracy is prioritized, the data presented might not be entirely correct or up-to-date. This information is offered for general knowledge and informational purposes only, and should not be considered as a substitute for professional advice.

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manpreet Tuteehub forum best answer Best Answer 2 years ago

My syllabus says:

recognise situations where conjecture based on a limited trail followed by inductive proof is a useful strategy, and carry this out in simple casses e.g. find the nth derivative of xexxex"

Please tell me what it means in simple terms which I can type on google or YouTube to find lectures and excercises to practice and learn this as I have no book or teacher to teach me.

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manpreet 2 years ago

It means try the first few cases; in this case the 1st,2nd,3rd,... derivative, and see if you spot any pattern. After that, try to prove the pattern correct by using induction.


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