ATAR Notes: Forum

HSC Stuff => HSC Maths Stuff => HSC Subjects + Help => HSC Mathematics Advanced => Topic started by: Blanl on May 18, 2021, 08:38:16 pm

Title: Maths
Post by: Blanl on May 18, 2021, 08:38:16 pm
1. I know this seem like a dumb question, but for question 1 do I just write 1,2,34,5 for n? And then 1,3,6,10,15 for Tn

2. I have no idea how I’m going to use recurrsion for question 2 and how to do the explicit formula either

3. And I need Tn to do question 3 and I’m suppose to provide a reason? What is the reason?

https://imgur.com/gallery/3FvWeIF
Title: Re: Maths
Post by: fun_jirachi on May 18, 2021, 08:57:22 pm
1. I know this seem like a dumb question, but for question 1 do I just write 1,2,34,5 for n? And then 1,3,6,10,15 for Tn

2. I have no idea how I’m going to use recurrsion for question 2 and how to do the explicit formula either

3. And I need Tn to do question 3 and I’m suppose to provide a reason? What is the reason?

https://imgur.com/gallery/3FvWeIF

1. Yes
2. Recursion implies a relationship between Tn and some subset of previous terms. In this case it is Tn and Tn-1. Can you determine such a relationship?

Substituting in each recursive step until you reach the base case T1 = 1 will let you find the explicit formula.

3. Do question 2 first then come back to this (the reason will become pretty obvious if you get question 2 correct).