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Calc 2

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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Manny

  1. 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?

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    Steve

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