Evaluate the infinite geometric series $0.79 + 0.079 + 0.0079 + 0.00079 + 0.000079 + \dotsb$. express your answer as a fraction with integer numerator and denominator.

Given geomatric series 0.79 + 0.079 + 0.0079 + 0.00079 + 0.000079 +.....

First term of the given geomatric series = 0.79.

Common ratio = =

Sum of infinite geometric series is given by formula

S∞ =

Where, a is the first term and r is the common ratio.

Plgging valus of a and r in above formula, we get

S∞ =

  =

   =

   =

Therefore,

Sum of the infinite geometric series =

no this is a nonlinear negative

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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