The thought is that if you show that sequence is steadily increasing with a lower bound, you could use that to show that it’ll reach 3034 by the 2023rd term
@@raepiste8354 usually the person doesn’t start by making that insanely accurate guess, they start by trying to establish a lower bound by seeing if there can be, for example, repeated or decreasing terms in the sequence, eventually reaching a good lower bound such as that one, which leads to the solution
Your videos are just mind blowing 🤘
Well seeing a inequality made me so happy. There was inequalities on prevoous years' shortlists however not on the exam paper
is it because they consider them as "easy"?
Cool
But what’s the thinking process behind for coming up the inequality a_(n+2) >= a_n + 3?
The thought is that if you show that sequence is steadily increasing with a lower bound, you could use that to show that it’ll reach 3034 by the 2023rd term
@@filipeoliveira7001but why the +3?
@@raepiste8354 usually the person doesn’t start by making that insanely accurate guess, they start by trying to establish a lower bound by seeing if there can be, for example, repeated or decreasing terms in the sequence, eventually reaching a good lower bound such as that one, which leads to the solution