Let's embark on a journey to explore the fascinating world of sequences and how to determine their initial terms. Unraveling the patterns within sequences is a fundamental concept in mathematics, ...

In this paper, we derive a formula for sum of powers of integers from Abel’s Summation Formula. This formula enables us to generate the formula for the sum of k-th power of integers, denoted by Sk(n), ...

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Some strange mathematical sequences are always whole numbers — until they’re not. The puzzling patterns have revealed ties to graph theory and prime numbers, awing mathematicians. Simple, yes, but ...

A finite series is a summation of a specified number of terms in a sequence, often represented mathematically as the sum of a_i, where i ranges from 1 to n. The subject of finite series proves to be ...

The much-anticipated video game designed by Jeppe Carlsen, the brain behind the puzzles in Limbo and Inside, seeks to deliver pleasurable moments of discovery. By Jason M. Bailey Long before the ...