#### Francis006

##### New Member

- Joined
- Jan 18, 2024

- Messages
- 4

- Gender
- Female

- HSC
- 2024

a) Show that T1=-1 and T2= -1 (completed, but included for context)

b) Show that Tn = -Tn-1 - Tn-2 for n=3,4,5... (I have no clue from here)

c) Hence use induction to show that Tn=2cos(2nπ/3) for n=1,2,3...

d) Hence write down the value of Σn=2012 k=1 Tk