2019 SQA Advanced Higher Mathematics no.7 Quick Sketch

[Music] number 17 from the 2019 advanced higher maths summation formula used to have to learn them you've gotten about the front player for one mark find an expression for this in terms of in sum from 1 to N well prove split apart so you've got six lots of the sum from I equals 1 to N of our plus adding up 13 suitable 31 but just needs 13 from one to end well there'll be six times whatever this comes to and adding up the natural numbers comes to 1/2 of n times n plus widening just check that to the front and adding up in lots of 13 simply gives you 13 n so 3n times that bracket so it's 3n squared plus 3 n plus 39 which comes to 3n squared plus 16 and then in Part B hence or otherwise of the pains as entities go to the trouble just the two marks here what does this come to the website doesn't come to that that's just a way of Putin Dave here to that up the way well doesn't start to one less formula here only applies if you came all the way from one all the terms from the first term to the end stem this start parked me along so you'll have to break that into this thing I only know the form of a start at once I could do one to twenty of six out plus thirteen because I'll just do this with a twenty in it but I don't want the first P terms I'm starting at P plus one so take away all the terms up to the number P of six out plus their team well I just means twenty into this and put P into this so it's going to be three times 20 squared plus sixty loss of 20 minus 3 lots of P squared plus sixteen loss of P just to use those brackets liberally there of course when I like that I should do here find another couple of brackets there because all that's being subtracted right so what does that log come to well that's four hundred which makes that twelve hundred that's 32 tames - and that's the 3p squared and minus again 16 P you know just take it up so I can reverse the order of those two starts 15 20 so 15 20 minus 16 P minus 3 T squared just to put them into some sort of order [Music]

Channel: DLBmaths

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Keywords: 2019 SQA Advanced Higher Mathematics

Id: 9Ij2GpMo9dI

Length: 3min 30sec (210 seconds)

Published: Sun May 05 2019