The Floor of The Average for The Fourth Roots of Integers

Main Article Content

Somkid Intep
ฺBoonyong Sriponpaew

Abstract

The aim of this paper is to construct an estimated sequence for the sequence of
the mean of the fourth roots of the first $n$ integers and to prove that both sequences share the same floor. On the other hand, we show that the same pattern of sequence construction is not applicable for the fifth-root and the sixth-root cases.

Article Details

How to Cite
Intep, S., & Sriponpaew ฺ. (2022). The Floor of The Average for The Fourth Roots of Integers. Mathematical Journal by The Mathematical Association of Thailand Under The Patronage of His Majesty The King, 67(706), 16–29. Retrieved from https://ph02.tci-thaijo.org/index.php/MJMATh/article/view/244090
Section
Research Article

References

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Sriponpaew, B. and Intep, S. (2020). The floor of the arithmetic mean of the cube roots of the first n integers. Bulletin of the Australian Mathematical Society, 102, p. 261 − 267.

Wihler, T. P. (2018) Rounding the arithmetic mean value of the square roots of the first n integers. Retrieved from https://arxiv.org/pdf/1803.00362.

Zacharias, J. (2018). Proof of a conjecture of Merca on an average of square roots. The College Mathematics Journal, 49, p. 342 − 345.