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#126 Re: Puzzles and Games » Next Term in the Sequence » 2014-05-15 11:35:29
Correct.
5)
6)
7)
8)
#127 Puzzles and Games » Next Term in the Sequence » 2014-05-15 09:58:22
- Maburo
- Replies: 10
State the next term in the sequence and (optional) describe the sequence.
Let's start off with some easy ones:
1)
2)
3)
4)
#128 Introductions » Hello » 2014-05-15 09:25:08
- Maburo
- Replies: 17
Hello everybody. I have been a guest lurker of the forum for some time now, although I made this account a while back. I thought it was finally time to start posting and getting to know some people on here.
The reason I have come to this forum: I love math! I am 18 and starting my first year of honours pure mathematics in September and I am extremely excited. I hope to make it to the end and achieve a Ph.D, though it seems like it will be a tough ride (and fun).
I am happy to be able to share my interests with other like-minded individuals, and I hope to remain an active member of the community. It's nice to meet you all!
#129 Re: This is Cool » Explanation? » 2014-05-15 06:06:42
Hello. This is Ma123 on my new account with my preferred username. I haven't been on the forum for a long time. In my free time I worked out a proof by induction for the formula
. My first actual proof on something I have never previously seen
To do it, I had to create a function of two variables and prove that the nth difference of perfect powers of n is n!. Then I used that result to show that the nth difference can be expressed by the alternating sum, thus proving that n! is equal to the alternating sum. If anybody would like to see, I could practice my LaTeX skills and write it up on here some time
Also, I have been reading the forum for quite some time now. I really enjoy it, so I will probably be spending some time here. I guess this is sort of an introduction, so hello all!
#130 Re: Jai Ganesh's Puzzles » 10 second questions » 2014-05-15 05:38:05
4959.
4960.
#131 Re: Puzzles and Games » Guess the Numbers » 2013-01-14 12:42:33
Ah! Sorry! a,b>1
#132 Puzzles and Games » Guess the Numbers » 2013-01-14 12:03:09
- Maburo
- Replies: 2
Given the following, solve for a and b:
a^b + b^a = (ab)^2 + 1
#133 Puzzles and Games » Guess My Number! » 2013-01-08 19:00:50
- Maburo
- Replies: 2
I am thinking of a two digit number, AB, such that A x B=AB/2, and A+B=AB/4. What is the number AB?