Question

sorry i got caught up in a few things but i finally finished can you please check it for me @phi

Answer 1

For Q3, I would put parens around the first k+1
and it makes sense to simplify (k+1)+1 to k+2
so (k+1)(k+2)

Answer 2

OK on the first part (but someone might want to see your algebra on Q2 )

Answer 3

Also, in Q3, the second line is not correct.
the terms for n=2, 3, 4 ... do not exist for P1
in other words, it is just
2 = 1(1+1)
2 = 2

Answer 4

so what do i put

Answer 5

For Q2, it would be better to write it as a proof, which is much more formal.
try to follow the exact steps in the posted example (see the original question)

Answer 6

P1: 2 = 2

Answer 7

oh ok

Answer 8

in Q2, at the end, once you get the formula using k, just say that this
"proves the identity" for k = (n+1).
do not put in = n(6n^2 -3n-1)/2 because that is confusing.

Answer 9

ok then for Q3 what was wrong