What is the next number in the series 1, 16, 81, 256, 625?
Multimagic square 36, 100, ... Value for Trimagic squares 1, 50, 675, 4624, ... Similarly the tetramagic sequence 4-Power 0, 1, 16, 81, 256, 625, 1296, ... Sum of 4-Power 0, 1, 17, 98, 354, 979, 2275, ... Sums for Tetramagic squares 0, 1, 177, ... The first known bimagic square has order 8 and magic constant 260 and a bimagic constant of 11180. It has been conjectured by Bensen and Jacoby that no nontrivial bimagic squares of order less than 8 exist. This was shown for magic squares containing the elements 1 to "n" by Boyer and Trump. However, J. R.
1/4 + 1/16 + 1/64 + 1/256 + ⋯ sum of an infinite series is defined as the limit of its partial sums, 1/4 + 1/16 + 1/64 + 1/256 + ⋯ In mathematics, the infinite series is an example of one of the first infinite series to be summed in the history of mathematics; it was used by Archimedes circa 250–200 BC. As it is a geometric series with first term and common ratio , its sum is The series lends itself to some particularly simple visual demonstrations because a square and a triangle both divide into four similar pieces, each of which contains the area of the