Shannen M.

asked • 03/20/22

Series of Sequences

I was given this summation problem and I thought that it would converge to cos(2.4), but got the question wrong. Are you able to show how to solve this problem? Thanks!



Mark M.

Is 2.4 degrees?
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03/20/22

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Doug C. answered • 03/20/22

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This is an infinite geometric series with the first term equal cos(2.4) and the common ratio equal cos(2.4).

Since |cos (2.4)| < 1 the series converges. Let R = cos(2.4),then S = R/(1-R).


Check it out:


desmos.com/calculator/orm7znrmh0


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