In equivalent resistors in multiple parallel resistors, like this
I need a formula for the equivalent resistance for the whole circuit, but in a way that, this formula can be generalized for more than 5 nets.
I've done this:
2E is the equivalent resistor for the last net, because they're in serie. Then, the next is in parallel: 2ED/(2E+D) and so on... but it looks really awful when finally get to the first net.
Every time this expression keeps growing and growing, I would like a simple formula for this:
By using some power of 2 instead of the R's, I get those simplifications:
But, nothing simple to make a generalization for further terms. NOTE: \$Req(i)\$ represents a circuit with \$i\$ nets on it.