THE ROLE OF ARITHMETIC PROGRESSIONS IN LIFE PROCESSES

Authors

  • Otajonova Sitorabonu Shukhratovna Asia International university General technician sciences department intern teacher Author

Keywords:

Arithmetic Progressions, Real-Life Applications, Finance, Population Growth, Construction, Predictability, Mathematical Modeling

Abstract

Arithmetic progressions (AP) are a fundamental concept in mathematics where each term in the sequence increases or decreases by a constant difference. This paper examines the role of arithmetic progressions in real-life processes across various domains such as finance, population growth, construction, and travel. Through systematic analysis, we explore how APs are applied to model linear changes in these fields and their significance in understanding patterns. The study demonstrates the practical utility of arithmetic progressions in making predictions and solving problems in real-world scenarios. Results indicate that interactive methods foster increased student participation, improve mathematical problem-solving skills, and enhance both student motivation and their long-term retention of key concepts. The paper also discusses the challenges teachers face in implementing these methods and offers recommendations for overcoming these obstacles to enhance the effectiveness of mathematics instruction in primary schools.   

References

Zhumaev Mamanazar Ergashevich, Tajieva Zumrad Giyasovna. Methods of teaching mathematics in primary schools. Tashkent-“science and technology’-2005.

Akhmedov M., Ibragimov P., Abdurakhmanova N., Zhumaev M.E. Handbook of medicine in the textbook of mathematics of the first grade. T.: "Uzinkomsenter", 2003.

Bikbaeva N.On and others. Methods of teaching mathematics in elementary grades (textbook for students of a pedagogical institution). T.: "Teacher", 1996.

Саидова, Н. (2022). TRIGONOMETRIK MASALALARNI YECHISHDA BA’ZI EKVIVALENT NISBATLARNI TADBIQ ETISH. ЦЕНТР НАУЧНЫХ ПУБЛИКАЦИЙ (buxdu. uz), 16(16).

Malikov, Z., & Otajonova, S. (2022). ЗАДАЧА КОШИ ДЛЯ СИСТЕМ ЭЛЛИПТИЧЕСКОГО ТИПА ПЕРВОГО ПОРЯДКА В СПЕЦИАЛЬНОЙ ОГРАНИЧЕННОЙ ОБЛАСТИ В ТРЁХМЕРНОЙ ОБЛАСТИ. Science and innovation, 1(A6), 416-419.

Otajonova , S. (2024). APPLICATION OF ELEMENTS OF TRIGONOMETRY IN SOLUTION OF TRIANGLES. Medicine, Pedagogy and Technology: Theory and Practice, 2(9), 292–304. Retrieved from

Otajonova, S. S. (2025). INTERACTIVE METHODS IN TEACHING MATHEMATICS TO PRIMARY SCHOOL STUDENTS: FOSTERING ENGAGEMENT AND CONCEPTUAL UNDERSTANDING. PEDAGOGIK TADQIQOTLAR JURNALI, 2(2), 84-87.

Бахронова .С.Б. (2024). СИСТЕМА ВОЛНОВЫХ УРАВНЕНИЙ, ПРИВОДИМАЯ ОПЕРАТОРОМ ДРОБНОГО ПОРЯДКА РИМАНА-ЛИУВИЛЛЯ В КАНОНИЧЕСКУЮ ФОРМУ. МЕДИЦИНА, ПЕДАГОГИКА И ТЕХНОЛОГИ

Turdiev Kh.Kh., Bahronova S.B. “Existenсe of a solution to the problem posed for a system of fraсtional diffusion equations” BuxDu ilmiy axboroti

Bahronova S.B. (2024). “MATRITSA. CHIZIQLI TENGLAMALARSISTEMASINI KRAMER USULIDA YECHISH” International journal of scientific researchers.

Bahronova S.B. (2024). “TALABALARNI MATEMATIKAGA JALB QILISH UCHUN INNOVATSION O‘QITISH USULLARI” International journal of scientific researchers.

Bahronova S.B. (2024). “RIMAN-LIUVILL KASR TARTIBLI HOSILASINING ANIQLANISHI” International journal of scientific researchers.

Xamroyevna, M. B. (2024). FUNDAMENTAL O ‘ZARO TA’SIRLAR TURLARI. Introduction of new innovative technologies in education of pedagogy and psychology, 1(3), 79-85.

Bobokulova, M. (2024). Alternative energy sources and their use. Medicine, pedagogy and technology: theory and practice, 2(9), 282-291.

Boboqulova, M. X. (2025). YUQORI CHASTOTALI SIGNALLARNI UZATISH USULLARI. PEDAGOGIK TADQIQOTLAR JURNALI, 2(2), 32-35.

Boboqulova, M. X. (2025). TO ‘LQIN O ‘TKAZGICHLAR (VOLNOVODLAR). Problems and solutions at the stage of innovative development of science, education and technology, 2(1), 1-7.

Boboqulova, M. X. (2025). MIKROZARRALARNING KORPUSKULYAR-TO ‘LQIN DUALIZMI. SHREDINGER TENGLAMASI. Problems and solutions at the stage of innovative development of science, education and technology, 2(1), 8-13.

Boboqulova, M. X. (2025). SPINLI ELEKTRONIKA. Problems and solutions at the stage of innovative development of science, education and technology, 2(1), 60-65.

Boboqulova, M. X. (2025). INTERFEROMETRLAR. KO ‘P NURLI INTERFERENSIYA. Problems and solutions at the stage of innovative development of science, education and technology, 2(1), 54-59.

Boboqulova, M. X. (2025). SHAFFOF JISMLARNING SINDIRISH KO ‘RSATKICHINI MIKROSKOP YORDAMIDA ANIQLASH. Problems and solutions at the stage of innovative development of science, education and technology, 2(1), 48-53.

Jalolov, T. S. (2024). KIBERMUHOFAZANING TA'LIM JARAYONIDAGI O'RNI. PEDAGOGIK TADQIQOTLAR JURNALI, 2(1), 189-192.

Junaydullaevich, T. B. (2023). BITUMENS AND BITUMEN COMPOSITIONS BASED ON OIL-CONTAINING WASTES. American Journal of Public Diplomacy and International Studies (2993-2157), 1(9), 147-152.

Турсунов, Б. Ж. (2021). Анализ методов утилизации отходов нефтеперерабатывающей промышленности. Scientific progress, 2(4), 669-674.

Jalolov, T. S. (2024). РАЗВИТИЕ ТЕХНОЛОГИЙ ИСКУССТВЕННОГО ИНТЕЛЛЕКТА В САМОДВИЖАЩИХСЯ РОБОТАХ. Methods of applying innovative and digital technologies in the educational system, 1(2), 1-7.

Jalolov, T. S. (2024). ЭФФЕКТИВНОЕ ИСПОЛЬЗОВАНИЕ ТЕХНОЛОГИЙ ИСКУССТВЕННОГО ИНТЕЛЛЕКТА В ЭКОНОМИЧЕСКОМ МОДЕЛИРОВАНИИ. Methods of applying innovative and digital technologies in the educational system, 1(2), 27-32.

Jalolov, T. S. (2024). СОЗДАНИЕ ДИАГНОСТИЧЕСКИХ СИСТЕМ НА ОСНОВЕ ИСКУССТВЕННОГО ИНТЕЛЛЕКТА В СИСТЕМЕ ЗДРАВООХРАНЕНИЯ. Methods of applying innovative and digital technologies in the educational system, 1(2), 14-20.

Jalolov, T. S. (2024). SUN'IY INTELLEKT YORDAMIDA KATTA MA'LUMOTLARNI QAYTA ISHLASH VA TAHLIL QILISHNING SAMARALI USULLARI. Ensuring the integration of science and education on the basis of innovative technologies., 1(3), 25-30.

Jalolov, T. S. (2024). AVTONOM ROBOTLARDA SUN'IY INTELLEKT TEXNOLOGIYALARINI RIVOJLANTIRISH. Ensuring the integration of science and education on the basis of innovative technologies., 1(3), 56-61.

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Published

2025-02-14