*The authors show that a certain sequence unexpectedly converges to 8.*

You can filter the list below by selecting a subject category from the drop-down list below, for example by selecting 'One-Variable Calculus'. Then click the **'APPLY'** button directly, or select a subcategory to further refine your results.

Displaying 1111 - 1120 of 1212

*In this paper the radix sorting algorithm is used to explain why Geronne`s 3 pile card trick works. Generalizations are explored.*

*The limit of the ratio of the geometric mean to the arithmetic mean of certain sequences is studied, using Riemann sums.*

*Two proofs, one elementary, of the limit in the title are presented.*

*The authors investigate the occurrence of composite values of non-constant polynomials with integer coefficients evaluated at integer points.*

*A visual proof for the sum of octagonal numbers is presented.*

*The paper presents an elementary solution to the Brachistochrone problem.*

*The author shows that the ratio of the area under a catenary curve to the arc length is independent of the interval over which they are measured.*

*A visual demonstration of an inequality involving the tangent function and sums is presented.*

*Mengoli`s Series is presented visually .*