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I would guide the student through the process, as this will be far more beneficial to their learning rather than just telling them the answer. So first I'd ask what would happen if they d...

There are 2 possible cases.

First when n is even, then let n = 2k where k is a positive integer.
Substituting n = 2k gives us:
(2k)³ + 3(2k) -1
= 8k³ + 6k ...

Cost = (13.50 x number of children) + 23.Cost = (13.50 x 8) + 23.BIDMAS. Brackets first.Cost = 108 + 23 = £131.

To show this we should consider when n is odd and when n is even,If n is odd then we can find an m such that n=2m+1. Substituting n=2m+1 and expanding gives 8m^3+12m^2+6m+1+12m^2+12m+3+4m+2+1=8m^3+24m^2+2...

I haven't yet figured out how to write in proper mathematical notation on here, and my drawing pad is yet to arrive, so please forgive the formatFirst, the formula for the volume of revolution is V= pi *...