Solution: This exercise refers to the "right side up" equilateral triangle with sides of length 2b in the accompanying figure. "Upside down" equilateral
Question: This exercise refers to the "right side up" equilateral triangle with sides of length 2b in the accompanying figure. "Upside down" equilateral triangles are removed from the original triangle as the sequence of pictures suggests. The sum of the areas removed from the original triangle forms an infinite series.
- Find this infinite series.
- Find the sum of this infinite series and hence find the total area removed from the original triangle.
- Is every point on the original triangle removed? Explain why or why not.
Deliverable: Word Document 
(Steps Shown) Show that if ∑_n=1^∞ a_n converges, then
![[Solution Library] a. Show that ∑_n=1^∞ (n(n+1))/(x^n)=(2](/images/solutions/MC-solution-library-33562.jpg "[Solution Library] a. Show that ∑_n=1^∞ (n(n+1))/(x^n)=(2 x^2)/((x-1)^3)")
[Solution Library] a. Show that ∑_n=1^∞ (n(n+1))/(x^n)=(2 x^2)/((x-1)^3)
(See Solution) If p is a constant, show that the series 1+∑_n=3^∞
[Step-by-Step] The convergence of ∑_n=1^∞[(-1)^n-1 x^n]
[Solution Library] Evaluate ∫(dx)/(x(x+1)(x+2)• •
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