Leaving Cert Higher Level Maths 2020 Paper 1 Question 7

[@SimpleScienceandMaths]

Solutions to each question: Question 1: kzbin.info/www/bejne/o3u7aWmdaqh5i6M Question 2: kzbin.info/www/bejne/n3TWaIF-ppKfY7s Question 3: kzbin.info/www/bejne/h2api5Wfeq2hnsU Question 4: kzbin.info/www/bejne/foXZnqqGn96rbZo Question 5: kzbin.info/www/bejne/eHaUo2Zul7mtaac Question 6: kzbin.info/www/bejne/qqe1c3iCo8adqdk Question 7: kzbin.info/www/bejne/n5bXZ2huh7qFaqs Question 8: kzbin.info/www/bejne/aYaYYaGhnJuKr8k Question 9: kzbin.info/www/bejne/fXOaf6aEhsaVrMU

[@jackcashman15]

Thanks for this . Helped a ton! Keep up the good work !👍👍

[@SimpleScienceandMaths]

No problem 👍

[@user-pr4vg4dh7e]

where did the 2 go in b (ii)

[@jameswu9185]

im doing this before my mocks, for the prove of induction in question 7 (d), step 3 where you let n = k+1 where did the k*2 come from on the lhs, its in the marking scheme as well but I just don't get it, is it not just to sub (k+1)*2 instead of k*2, why is there an extra k*2 before it???

[@SimpleScienceandMaths]

K^2 is the term before (k+1)^2, it will always be there and we need to have it in order to simplify down the lhs

[@destinynewman2229]

for part (d) on the proof by induction in step 3 would it be ok to multiply everything out instead of leaving all in bracket form

[@SimpleScienceandMaths]

Technically yes but it is not recommended. It would likely take longer and provide opportunities to make mistakes. You would have to multiply out both sides and then put them in the same form so it would take more time and space in my opinion.

[@marziajamali692]

Hello, Actually i have maths leaving cert sequnces and series question if you can answer for me

[@SimpleScienceandMaths]

Sure, what is it?

[@cianpeters5292]

For part b(I) why/ how did you make (n+1) be 2(n+1) over 2

[@SimpleScienceandMaths]

They need to have the same denominator in order to add fractions.