When I was looking into Arithmetic progression sum formula, I found out that it is similar to Trapezoid are formula.
- Arithmetic progression sum formula
$S_n = \frac{(a_1+a_n)n}{2}$
- Trapezoid area formula
$A = \frac{(a+b)h}{2}$
I was wondering: is there any connection between them? Maybe a geometric representation which I'm not able to image or is it just a nonrelevant imagination?
Sure: Look at this figure and see if you can reason it out: