Mathematics
Mathematics
Problem
A student saves ₹750 in the first month and increases the saving by ₹25 every subsequent month. Answer the following: a. (i) After how many months will the monthly saving be exactly ₹1500? b. (ii) Will the monthly saving ever be ₹1510? Give a mathematical reason for your answer. c. (iii) Calculate the total amount the student will have saved up to and including the month found in part (i).Intuitive explanation
This is an arithmetic sequence problem where you're building up savings month by month with a constant increase. The key insight is recognizing that the monthly savings form a pattern: 750, 775, 800, 825, … with a common difference of 25. Once you identify the first term and common difference, you can use the arithmetic sequence formulas to find any specific month's savings or the total accumulated over time.
Intuitive explanation
This is an arithmetic sequence problem where you're building up savings month by month with a constant increase. The key insight is recognizing that the monthly savings form a pattern: 750, 775, 800, 825, … with a common difference of 25. Once you identify the first term and common difference, you can use the arithmetic sequence formulas to find any specific month's savings or the total accumulated over time.