Friday
December 13, 2013

# Posts by Francesca

Total # Posts: 155

Discrete Math
So, going back to the previous 9:05. The solution is a_n = 40(1)^n - 3(1)^n, is this correct or way off?

Discrete Math
How about this: Solve the recurrence relation a_n+1 = -8a_n – 16a_n - 1, n ≥ 1, given a₀ = 5, a₁ = 17. Characteristic polynomial is: x^2 + 8x + 16 with distinct roots -4. Since the roots are equal a0 = 5 = C1(-4)^0 + C2(0)(-4)^0 making C1 = 5, right? But...

Discrete Math
So the characteristic roots are 1?

Discrete Math
Idk what happened at 7:24 I think my computer had a glitch or something and it reposted. This one is throwing me for a loop: Solve the recurrence relation a_n = 2a_n - 1 – a_n -2, n ≥ 2, given a₀ = 40, a₁ = 37. Characteristic polynomial: x^2 - 2 + 1 How ...

Discrete Math
Oh I feel dumb. . . Ok so now a_n = C_1(1)^n + C_2(-6)^n a0 = C_1 + C_2 = 5 (1) a1 = C_1 - 6C_2 = 19 (2) So to find C1 I eliminated it by 6(1) + (2) <--is this allowed? (6C1 + 6C2) = 30 + (C1 - 6C2) = 19 ___________________ 7C1 = 49 C1 = 7 Plug this into (1) and this is whe...

Discrete Math
Oh I feel dumb. . . Ok so now a_n = C_1(1)^n + C_2(-6)^n a0 = C_1 + C_2 = 5 (1) a1 = C_1 - 6C_2 = 19 (2) So to find C1 I eliminated it by 6(1) + (2) <--is this allowed? (6C1 + 6C2) = 30 + (C1 - 6C2) = 19 ___________________ 7C1 = 49 C1 = 7 Plug this into (1) and this is whe...

Discrete Math
Thank you so much for your help! I think I am getting the hang of it better. Can you please check: Solve the recurrence relation a_n = -5a_n - 1 + 6a_n - 2, n ≥ 2, given a₀ = 5, a₁ = 19. characteristic polynomial is x^2 + 5x - 6 it has the distinct root 2 and...

Discrete Math
Oops posted twice. . .Sorry

Discrete Math
If you don't mind can you help with this problem? Solve the recurrence relation an+1 = 7an – 10an - 1, n ≥ 2, given a₁ = 10, a₂ = 29. The characteristic polynomial is x^2 - 7 + 10 with characteristic roots 2 and 5. Once again I get confused when I ge...

Discrete Math
If you don't mind can you help with this problem? Solve the recurrence relation an+1 = 7an – 10an - 1, n ≥ 2, given a₁ = 10, a₂ = 29. The characteristic polynomial is x^2 - 7 + 10 with characteristic roots 2 and 5. Once again I get confused when I ge...

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