Open Access Original Research Article

On Generalized Third-Order Jacobsthal Numbers

Evren Eyican Polatlı, Yüksel Soykan

Asian Research Journal of Mathematics, Page 1-19
DOI: 10.9734/arjom/2021/v17i230270

In this paper, we investigate the generalized third order Jacobsthal sequences and we deal with, in detail, four special cases, namely, third order Jacobsthal, third order Jacobsthal-Lucas, modified third order Jacobsthal, third order Jacobsthal Perrin sequences. We present Binet’s formulas, generating functions, Simson formulas, and the summation formulas for these sequences. Moreover, we give some identities and matrices related with these sequences.

Open Access Original Research Article

Open Access Original Research Article

Investigating the Level of the Tenth-grade Students’ Self-Efficacy in Mathematics and its Impact on their Performance: A Study in Pemagatshel District

Pema Norbu, Pema Dukpa

Asian Research Journal of Mathematics, Page 34-46
DOI: 10.9734/arjom/2021/v17i230272

The study aimed at finding out the level of Mathematics self-efficacy and its relationship with the Mathematics performance of tenth-grade students. The study used a quantitative method.  The data was collected from one middle secondary school and three central schools under the Pemagatshel district from 3rd March to 16th March 2020.  A total of 300 students comprising 150 males and females each were included for the study. The data was collected using Mathematics Self-Efficacy Scales and analyzed using SPSS. The overall finding indicated that students had an average level of Mathematics self-efficacy (M=3.25; SD= 0.60). Among the four sources of self-efficacy, the study revealed that the students had high Mathematics self-efficacy in vicarious experience (M= 3.67; SD= 0.62). The Pearson correlation indicated a moderate positive correlation (r= .467, P=.05) between Mathematics self-efficacy and Mathematics performance. Higher the Mathematics self-efficacy, better the Mathematics performance, and lower the Mathematics self-efficacy, poorer the Mathematics performance. Therefore, it is imperative to strengthen the skills and strategies that enhance the Mathematics self-efficacy of the students.

Open Access Original Research Article

Bank Distress Prediction Model for Botswana

Hassan Kablay, Victor Gumbo

Asian Research Journal of Mathematics, Page 47-59
DOI: 10.9734/arjom/2021/v17i230273

"Financial distress" has many dierent meanings but generally it is said to be a state of unhealthy condition. Botswana's banking system comprises of commercial, development and savings banks. None of these types of banks has actually failed but rather some of them have experienced some form of distress. The Bank of Botswana uses the CAMELS ratings to measure distress. The CAMELS ratings is based on a score between 1 and 5, with 1 being the best score and indicates strong performance, while 5 is the poorest rating and it indicates a high probability of bank failure and the need for immediate action to rectify the situation. For this study, we consider 1-3 to be good scores (non-distressed) and a bank to be distressed if it has a score of 4-5. Utilising secondary data sources for the period 2015 to 2019, inclusive, the study evaluated the drivers of bank distress in Botswana. The data was sourced from the audited nancial statements and annual reports of the 11 banks involved in the study. Panel data logistic regression was used for analysis. The results of the study showed that Non-Performing Loans (NPL) ratio and Return on Equity (ROE) were the best predictors of bank distress.