Proof by induction

[tranquil siren]

Hi for question 4 is my basis step incorrect for the LHS and ( did I do everything else right. Book doesn't have the markscheme)

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[tranquil siren]

For step 2 the assumption step forgot to put proper notation should be

[naive oyster]

Why is it 1+6 and not 1*6?

[tranquil siren]

Used the n(n+5) from the last term of the LHS then subbed n=1 and got 1(1+6)

Smth has to be wrong I think I'm supposed to write he whole series out but it doesn't add up to 6 like the RHS

[fleet slate]

...so let me get this straight.

n = 1
n(n + 5) = 1(1 + 6)```?

[tranquil siren]

Whoopsie

[fleet slate]

It should actually be r, not k, in the summation.

[tranquil siren]

I DIDNT NOTICE THAT

[fleet slate]

Well, now you have, does that fix it for you?

[tranquil siren]

Ah

[tranquil siren]

Wait r I thought it should be n...

Alright thx guys!

[fleet slate]

It needs to be whatever you indicate the index to be. It needs to match the letter at the bottom of the sigma.

[tranquil siren]

Thanks Techie!