the imaginary number i is defined such that i2(square) =-1. what does i+i2(square)+i3(cube)+.......i49 equal?

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the imaginary number i is defined such that i2(square) =-1. what does i+i2(square)+i3(cube)+.......i49 equal?

Mathematics
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At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

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Well you can use the geometric series formula. Look at the formula here :http://www.purplemath.com/modules/series5.htm Here \(a=i\) and \(r=i\). Give it a try and if you have any question you can come back here.

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