Asymptotic behavior of reciprocal sum of two products of Fibonacci numbers
Abstract Let { f k } k = 1 ∞ $\{f_{k} \} _{k=1}^{\infty}$ be a Fibonacci sequence with f 1 = f 2 = 1 $f_{1}=f_{2}=1$ . In this paper, we find a simple form g n $g_{n}$ such that lim n → ∞ { ( ∑ k = n ∞ a k ) − 1 − g n } = 0 , $$\lim_{n\rightarrow\infty} \Biggl\{ \Biggl(\sum^{\infty}_{k=n}{a_{k}} \Bi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2020-04-01
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| Series: | Journal of Inequalities and Applications |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1186/s13660-020-02359-z |