Thursday
December 12, 2013

# Posts by Francesca

Total # Posts: 155

Discrete Math
Solve the recurrence relation a_n = -6a_n - 1 + 7a_n-2, n ≥ 2, given a₀ = 32, a₁ = -17. This is what I have figured out so far: polynomial: x² + 6x - 7 distinct roots: 1 and -7 I do not understand how to find C₁ and C₂. How do I complete this...

Discrete Math
Sorry I still don't get it. Can someone please explain?

Discrete Math
Solve the recurrence relation a_n = -2a_n-1 + 15a_n-2, n ≥ 2, given a₀ = 1, a₁ = -1. x² + 2x - 15, the distinct roots 3 and -5, so a_n = C₁(3^n) + C₂(-5)^n. The initial condition gives a₀ = 1 = C₁ - C₂, a₁ = -1 = 3C...

Discrete Math
REVISED QUESTION: Why use mathematical induction to prove the sum of a sequence is valid?

Discrete Math
Why use mathematical induction to get the sum of a sequence? Also, if there are any websites you can recommend that will be a help too. However, I need an explanation rather than examples. Thank you for any helpful replies.

Math
So, this is how far I got. . .I getting weird numbers. . . -3072(1 - (-1/2)⁹) ------------------- = 1 - (-1/2)

Math
Thank you for responding. Hmm... IDK. . .I'll have to ask if that's a typo on the other end. Hey do you mind seeing if this is correct, and helping with the second part? Consider the geometric sequence that begins -3072 and common ratio –1/2. Find the 13th and 20t...

Math
Can someone please calculate this: 48(-1/2)^6 The answer is 3/2, but I get 3/4. What am I dong wrong?

Discrete Math
OK thank you!

Discrete Math
I want to verify that this is correct: An arithmetic sequence begins, 116, 109, 102 • Determine whether -480 belongs to this sequence, if it does, what is its term number? -480 = 116 + (n - 1)(-7) n - 1 = 85.142. . . So, that means -480 does not belong to this sequence, r...

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