How to write an equation?
Every floor of a building must be conneceted to the basement by a wire. Each floor gets its own indivigual wire. Given any constant hight between floors (h), and x number of floors (f), how do I write an equation that will give me the proper ammount of wire? Thanks!
Hi Parke,
Welcome to the forum :)
The first wire is h long, the second is 2h long the last one is f h long
h, 2h, 3h, ....... f h
This is an arithmetic progression. The first term is h, the common diff is h the last term is f h
The sum of all these terms is given by the forumula
$$s_n=\frac{n}{2}(a+L)$$ n=f, a=h, L=f h
$$\\S_f=\frac{f}{2}(h+f*h)\\\\
S_f=\frac{f*h}{2}*(1+f)\\\\$$
Hi Parke,
Welcome to the forum :)
The first wire is h long, the second is 2h long the last one is f h long
h, 2h, 3h, ....... f h
This is an arithmetic progression. The first term is h, the common diff is h the last term is f h
The sum of all these terms is given by the forumula
$$s_n=\frac{n}{2}(a+L)$$ n=f, a=h, L=f h
$$\\S_f=\frac{f}{2}(h+f*h)\\\\
S_f=\frac{f*h}{2}*(1+f)\\\\$$