Where did the name come from?

Algebra Level 4

Find the Sum of the following Geometric Progression-

2 π , 4 π 2 , 8 π 3 -2\pi , 4{ \pi }^{ 2 }, -8{ \pi }^{ 3 }


This question is flagged because the phrasing is unclear. It looks like you are supposed to evaluate the above expression.


The answer is -214.855.

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1 solution

Tom Engelsman
Oct 11, 2020

Why is this problem a Level 4???!!!

S = Σ k = 0 2 ( 2 π ) k + 1 = 214.855 . \Sigma_{k=0}^{2} (-2\pi)^{k+1} = \boxed{-214.855}.

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