Abstract:
This article discusses the sums of reciprocal and reciprocal squared of Lucas
number through several propositions in the form of inequalities. Several identities
are used to prove the propositions. Some required identities are proven by
mathematical induction, Binet's formula, and recurrence relations of Lucas
numbers. Then, to get the results of the sums of reciprocal and reciprocal squared
of Lucas numbers is used the inverse and
oor function of the combined
proposition that has been obtained. This article is a review of the article of Choo
[International Journal of Mathematical Analysis, 11 (2017), 519 - 529].
