Induction q: (1 Viewer)

amdspotter

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i dont see any major difference between these two qs can someone explain / elaborate on whether there is any huge diff in the qs and how we would approach it cuz i feel like i would approach both qs in the same way:

1640781421640.png1640781429315.png
 

cossine

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i dont see any major difference between these two qs can someone explain / elaborate on whether there is any huge diff in the qs and how we would approach it cuz i feel like i would approach both qs in the same way:

View attachment 34525View attachment 34526
I agree they are the same.

The meaning are only slightly different.

As you can say the multiples of 3 are: 3, 6, 9, etc


But you cannot say divisible of 3.
 

jimmysmith560

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Additionally, you may wish to have a look at the following working for Question 5:

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1640782979112.png

I hope this helps! :D
 

Run hard@thehsc

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@jimmysmith560 Is it necessary to write the long final conclusion statement, especially when we are doing a test or can we suffice by just writing "as per mathematical induction the following statement is true for ...."
 

icycledough

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@jimmysmith560 Is it necessary to write the long final conclusion statement, especially when we are doing a test or can we suffice by just writing "as per mathematical induction the following statement is true for ...."
I'm not jimmy, but can help you out here. Honestly, I would stick to what your school tells you to do. With me, I had asked my teacher (as well as other teachers) before exams, and they said it was fine to write a small conclusion, as in theory, it doesn't test your understanding of the topic (but some schools may assign a mark for completeness). So I could get away with a conclusion like "Thus, according to mathematical induction, 2^x - 1 will always be prime for all odd numbers x > 1" (just a hypothetical example).

TL;DR --> ask your teacher for what is acceptable; different schools will have their own way
 

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