File:Geometric progression.gif

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Geometric_progression.gif(400 × 400 pixels, file size: 131 KB, MIME type: image/gif, looped, 13 frames, 13 s)

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Summary

Description
Русский: Анимация, показывающая сходимость частичных сумм геометрической прогрессии (красная линия) к её сумме (синия линия) при . Нарисована в Maple.
English: Animation, showing convergence of partial sums of geometric progression (red line) to its sum (blue line) for . Painted in Maple.
Date
Source Own work
Author Illustr

Source code:

restart: with(plots): with(geometry):
F := proc (theta) 
n1 := round(theta); 
pl := plot(sum(x^k, k = 0..n1), x = -10..10); 
display({pl}, view = [-10..10, -10..10], labels = [q, ""], caption = typeset(n, " =", sprintf("%2.0f ", evalf(theta)))) 
end proc:
animate(F, [theta], theta = 0 .. 12, background = display({plot(1/(1-x), x = -10 .. 1, color = blue), plot(1/(1-x), x = 1 .. 10, color = blue)}), frames = 13, title = " ");

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depicts

22 April 2018

File history

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Date/TimeThumbnailDimensionsUserComment
current12:39, 22 April 2018Thumbnail for version as of 12:39, 22 April 2018400 × 400 (131 KB)IllustrUser created page with UploadWizard

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