Cambridge maths induction question help!!!! (1 Viewer)

[philk_93]

Hey guys would u be able to help me solve question 8a) in exercise 6N of the yr 11 book.Thanks

 

[nightweaver066]

That sigma sign means the addition of terms from r = 1 all the way to n.
So basically, it could be rewritten as:


Should be easier now.

 

[Hermes1]

That sigma sign means the addition of terms from r = 1 all the way to n.
So basically, it could be rewritten as:


Should be easier now.

nightweaver, you have ur signs the wrong way round

 

[nightweaver066]

nightweaver, you have ur signs the wrong way round

Thanks, i'll change it so he doesn't get any more confused..

 

[Hermes1]

okay im not going to be able to post the solution whole, bcuz it will take way too long on latex.

but heres a summary:

prove for n = 1
assume true for n = k
prove true for n = k+1
for n = k+1, prove that LHS-RHS < or equal to 0:


the above was from the assumption for k
simplifying that you should get:

and you say thats less than zero since n was greater than 0 and hence k is greater than zero.

then you give ur conclusion, dont forget the conclusion its very important.

 

[philk_93]

Thanks

 

[Hermes1]

Thanks

ur welcome.

 

[Timothy.Siu]

can also prove this using integration