the bases form a geometric sequence with
a = 27/64
r = 4/3
Since r>1, the infinite sum diverges.
Care to rephrase the question?
Compute the total area of the (infinitely many) triangles in the Figure
In the image, the height of all the triangles is 6/7. The x-values for the bases of the triangles from left to right are as follows: 27/64 , 9/16 , 3/4 , 1
Using the formula for the area of a triangle (A = (1/2)BH) as well as the fact that all the triangles have the same height of 6/7, I know that the area is equal to (3/7)B. I'm not quite sure where to go from there when it comes to solving this, however.
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