A-Level Further Maths: A1-16 Proof by Induction: 2^n+6^n is divisible by 8

[DUTYcallsMRswift]

YO you are sick bigman, everyone should let you know ur a legend in the game

[jamesdale]

Took me so long to understand until this bloke cracked it for me in less than 5 minutes. Very helpful

[marwankareem]

Hi would this method be accepted do edexcel? because the mark scheme is a bit different

[jacobious]

Hello. I arrived at f(k) + 4*6^k by using f(k+1) - f(k). Can I say that 6^k is always even so has a factor of 2. Then 4*2 is 8 therefore 4*6^k is divisible by 8? Thanks.

[luangj]

i got to the end making it divisible by 8 but got different to you, dont know if this is a different method but my answer was: 8(8A-3^k)

[rahimahmed]

Hi there, hope you’re having a good day, I’m retaking Alevel maths and I just wanted to ask for your opinion on whether you think I should retake the AQA old spec modular exams or attempt the new spec Edexcel linear exams in 1 year?

I’ve sat the following exams and intend to retake the majority of them:
C1
C2
C3
C4
D1
M1

What are your views on this? Possible pros and cons of either one?

I’ve never done statistics before.

[jasminemondesir]

For the alternative route do you need to split the 6^k into 2^kx3^k. Could you have just written it as 6x6^k-1 and worked from there?

[callumcosens]

Hey, when we have something like 6*2^k. Isn't that the same as 12^k? Thanks for the help