Yes, zero does count as an integer - but it counts as an even number, so is included in the proof still! Consider 2n (an even number) with n = 0. This shows 0 is even.
Yes, this is very possible, and would be an accepted approach! I don't believe I've seen too many examples that could be done in this way, but if it is possible, the examiners would allow it!
Hello Sir, why is 0 an even number ? I think I’ve heard you say this before and and you said this again at the beginning of this video- I’m still puzzled ?
Does zero count as an integer? If so, does this mean the proof is incomplete? 4:28
Yes, zero does count as an integer - but it counts as an even number, so is included in the proof still! Consider 2n (an even number) with n = 0. This shows 0 is even.
Could you do some of the questions as if they were a proof by induction in further, so prove for 1, then assume true for k, then prove true for k+1
Yes, this is very possible, and would be an accepted approach! I don't believe I've seen too many examples that could be done in this way, but if it is possible, the examiners would allow it!
for question 10. I did 2/4 and said that 2/4 is not a natural number is that still correct
Yes!
Thank you sir your videos are absolutely brillant,however May I ask where is the exercises link thank you
The exercises are from the official Pearson Edexcel textbooks!
Hello Sir, why is 0 an even number ? I think I’ve heard you say this before and and you said this again at the beginning of this video- I’m still puzzled ?
Even numbers can be written in the form 2n, where n is an integer. When n=0, 2n=0, so 0 is even!
@@BicenMaths wow ! That is the best explanation! Thank you !