Prove by mathematical induction: 1+2+2^2+2^3++2^n-1=2^n-1

First show the statement holds for the base case (presumably ):



Meanwhile, the right hand side evaluates to , so the base case holds.

Now assume the formula holds for ; that is,



and use this hypothesis to show that the formula holds for . You have



so the formula holds and the proof is complete.

Deja qué x = longitud6(x) = 48cm^2divide por 6: x = 8la área de longitud es 8 cm.