شرح قواعد المتتاليات بأسلوب ممتع

Let's explore sequences and their patterns!A sequence is a pattern of numbers that follows a specific rule.In an arithmetic sequence, we add or subtract the same number each time.A real-world example of an arithmetic sequence is the height between steps in a staircase.In a geometric sequence, we multiply or divide by the same number each time.Population growth often follows a geometric sequence, where the population doubles or triples in each period.For arithmetic sequences, we use this formula to find any term:Let's solve an example where the first term is 3 and the common difference is 4.We substitute the values into our formula to find the tenth term.We can visualize how the terms progress in an arithmetic sequence.For geometric sequences, we use a different formula involving powers.Let's solve an example where the first term is 2 and the common ratio is 3.We substitute these values to find the fifth term.Notice how each term in a geometric sequence is multiplied by the common ratio.لحساب مجموع المتتالية الحسابية، نستخدم القانون التاليلنطبق هذا على مثال عملي: حساب الادخار الشهريلنحل المسألة خطوة بخطوةأما بالنسبة للمتتالية الهندسية، فنستخدم القانون التاليلنطبق هذا على مثال من الحياة: النمو السكانيلنحل مسألة النمو السكاني خطوة بخطوةلنلخص ما تعلمناه في جدول