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Hi Ganesh;
To (xliii) problem 68
I get n^3-n^2+n as the general term. So the next 2 terms are 301 and 456
Hi claire;
Nice to meet you. I love star trek voyager too.
Hi;
The factors of (x^2-x+4) are complex so that is the best you can do.
bobbym
Hi
These are the factors:
so their are no real factors.
Hi Jane;
Thanks for the first greeting!
Hi Maths;
This one is easy. Think of it as a gamblers ruin problem with you having 20 pounds and your opponent having 30 pounds with the betting being 10 pounds per game. The game continues until one of you runs out of money. When he runs out of money is equivalent to you winning the 30 pounds you need to get on the bus. The common sense answer is the right one. If you both had 20 pounds then obviously the chances are 1 to 1. Since he has 50% more money than you he must be the favorite. He has 3 chances out of 5 of busting you and you have 2 chances out of five of busting him. The expected number of betting rounds before someone goes busted is just 2*3=6 .
So you have a 40% chance of getting enough dough to get on that bus. This is all covered in Finite Mathematics 4 edition p336 by Mizrahi and Sullivan. I am sure it is covered in many more books.
Everyone knows me by now.