Originally posted by sona nagee: one side of the bottom layer of a triangular pyramid has 12 balls. How many are there in the whole pyramid?
I will try my best: The top layer side length is 1 ball, layer sum is 1 ball; The second layer side length is 2, layer sum is 3; .................. So: sum = 1 + 2 + ... + side length = 1/2 * ( length + 1) * length; ................ So the twelveth layer has 78 ; So the grand total is: 1 + 3 + 6 + 10 + 15 + 21 + 28 + 36 + 45 + 55 + 66 + 78 = 364 !
Hey! Don Liu, how come you have a 3D mind like that! Tell me pls, how long I got to wait for May and Susan?
-Surfing the JavaRanch in a sunny garden with a cold drink and laptop can't be beat. by Frank Carver(sheriff)
Joined: Aug 05, 2001
Something tells me...
Joined: Mar 16, 2001
Don Liu Calculus of probabilities???!!! What is that? I've heard of calculus and probabilities but I just don't think I'll be able to find calculus of probabilities as a mathematical topic. But I must say what a word.
One of the definitions of calculus is "A system or method of calculation". So "calculus of probabilities" just means "calculation of probabilities". As it happens though, serious probability theory has lots of integrals in it, so you definitely need a good grasp of [integral] calculus to understand it.