Recent content by battery2004
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Lost with Probability homework
Thanks for you answer.- battery2004
- Post #3
- Forum: Precalculus Mathematics Homework Help
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Lost with Probability homework
Homework Statement A student has learned answers to 40 questions out of 60. A student has to pick 3 questions. What is the probability, that the student will know: a) all 3 questions b) exactly 2 questions c) at least 2 questions The Attempt at a Solution a) So all the...- battery2004
- Thread
- Homework Lost Probability
- Replies: 2
- Forum: Precalculus Mathematics Homework Help
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Does the sequence \sum_{n=1}^{\infty} \frac{n^n}{(2n)!} converge or diverge?
I was wrong after all. As lanedance pointed out i get (2n)! \rightarrow (2(n+1))! = (2n+2)! instead of (2n)! \rightarrow (2n+1)!, and this is quite a huge deal. So in the end i get 1/(2n+2)(2n+1) which is (1/(2n+2))*(1/2n+1) and both of these goes to 0. So i get 1/2 * e * 0 * 0 = 0...- battery2004
- Post #8
- Forum: Calculus and Beyond Homework Help
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Does the sequence \sum_{n=1}^{\infty} \frac{n^n}{(2n)!} converge or diverge?
Thanks for pointing that out, yes i missed that. But the good thing is that it doesn't affect the outcome. It`s still 1/2. And thanks Billy Bob. So that means: \frac{(n+1)^n}{n^n}}=\left(\frac{n+1}{n}\right)^n= \left(1+\frac{1}{n}\right)^n = e Ahh and then it means that 1/2 * e =...- battery2004
- Post #6
- Forum: Calculus and Beyond Homework Help
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Does the sequence \sum_{n=1}^{\infty} \frac{n^n}{(2n)!} converge or diverge?
Thank you for the quick response, i didn't mean to write that the first two things were equal it just happened to be the easiest way to write. :) One question - why did you write that the general term is (n*n^n)/(2n)!, shouldn't it be (n^n)/(2n)! ? Well i thought of this way: We write...- battery2004
- Post #3
- Forum: Calculus and Beyond Homework Help
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Does the sequence \sum_{n=1}^{\infty} \frac{n^n}{(2n)!} converge or diverge?
Homework Statement \infty\sum\frac{n^n}{(2n)!} n=1 First of all sorry for the bad attempt to replicate the problem digitally, but i hope you get the general idea. :) I just started learning sequences and i encountered this problem and I am not exactly sure how to solve it. The...- battery2004
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- Sequence
- Replies: 7
- Forum: Calculus and Beyond Homework Help
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Undergrad Converting rational number to a new base.
maybe someone has another idea how to turn 63/64 into a number with a base of 4?- battery2004
- Post #2
- Forum: Linear and Abstract Algebra
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Undergrad Converting rational number to a new base.
Hello, I found one exercise - convert a rational number 63/64(base - 10) to a number system with a base of 4 using Radix conversion. Searching through the internet i found this formula (i hope it`s the correct one :) ) - http://img255.imageshack.us/img255/903/races3.jpg Unlike...- battery2004
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- Base Rational
- Replies: 6
- Forum: Linear and Abstract Algebra
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Confirm a) & Solve b): Homework Help
Homework Statement http://img139.imageshack.us/img139/999/ksknl6.th.jpg http://g.imageshack.us/thpix.php Could someone confirm that the a) part is correct, and if it is, then what is the next step? :) And I am not exactly sure what to do in the b) part. I would really appreciate if...- battery2004
- Thread
- Homework
- Replies: 3
- Forum: Precalculus Mathematics Homework Help