| Author | Who is the cleverest of 'em all | 
			
| sorry, I don't get it...  | 
2^2 = 2*2 
2^3 = 2*2*2 
2^4 = 2*2*2*2 
etc.  
 
This is exponentiation.  | 
| I see! thanks  | 
| 2*3^7  | 
| multiply first or expo first?  | 
| expo first unless you write it out to 2*3*3*3*3*3*3*3 Then it doesn't matter what order you multiply in, but (2*3)^7 is not the same as 2*3^7. There are very few things you can do before exponents.  | 
| What is it's shorter name?  | 
| other than exponentiation?  | 
| for BrutalStrike: exponent multiplication  :P  | 
Until Divit is searching for a new one, I suppose each of us can propose a problem (I hope Divit won't mind). So, for 100 gp: 
 
Add and explain the next logic number in the sequence: 1, 7, 40, 85, ... (Hint: the number is one of the following 3: 190, 7480, 15625.)  | 
For the "bunny" question it states 
How many bunnies are in this 
 
The answer would be 1 
 
Previously he said bunny, not bunnies, though I assume hat is not the answer looking for  | 
OK! Forget about the previous (too complex) and focus on this one: 
 
Add and explain the next logic number in the sequence: 1, 6, 31, 156,... (Hint. The number is one of the following 3: 780, 781, 782). 
 
I double the stake.  | 
| hard =(  | 
| Come on, don't give up! Try! :)  | 
| 781  	 	 (5^n - 1)/4.  | 
| Correct! It is called geometrical progression. Prize dispatched. :)  | 
| or binary number written with one only  | 
| I mean base 5, but forget it I get the prize!  | 
It was sum with i from 0 to (n-1) from (5^i) which is (5^n - 1)/(5 - 1) which is exactly your answer. :) 
 
A new one (very simple). Add and explain the next logic number in the sequence: 7, 1, 8, 2, 8,... (Hint. The number is one of the following 3: 1, 3, 9). Stake: 100 gp.  | 
| 1 : decimal expansion of e  |