I wasn't sure where to place this problem in the forums. I hope this area is OK. I'm trying to find a pattern in this series of numbers. How can I find a simplified expression, where I evaluate it at my given n, and the proper f(n) is returned?
n=4, f(4)=6
n=5, f(5)=10
n=6, f(6)=15
n=7, f(7)=21
I found that the function can be represented by the sum
.
So for n=4, f(4)=3+2+1
n=5, f(5)=4+3+2+1
...
Is there a way I can find a simplified expression? For example, the series
2,4,8,16 can be represented by n^2. I was curious if I can find a simplified expression for this pattern.
Thanks
Edit: This should probably be moved to the number theory forum. Sorry