- #1
- 134
- 0
Prove that the area of the polygon with vertices at (-1,0), (-1+2^(-n), 1-(-1+2^(-n))^2), (-1+2(2)^(-n), 1-(-1+2(2)^(-n))^2),..., (1,0) is 1 + 4^(-1) + 4^(-2) + ... + 4^(-n).
I tried using the formula for the area of a polygon but could not get the answer. Now sure how to prove this.
I tried using the formula for the area of a polygon but could not get the answer. Now sure how to prove this.