Mathematics
Mathematics
Problem
A student’s savings balance in a plan is Rs in the second month and Rs in the fifth month. a. (i) Verify whether the monthly balances form an arithmetic progression. b. (ii) If they do, find the balance in the eighth month.Intuitive explanation
This is an arithmetic sequence problem where you're given two terms and need to find the pattern. The key insight is that equal time intervals mean equal changes in balance—so the difference between any two consecutive months is constant. Once you find that common difference, you can work backward to find the starting balance and then predict any future month's balance.
Intuitive explanation
This is an arithmetic sequence problem where you're given two terms and need to find the pattern. The key insight is that equal time intervals mean equal changes in balance—so the difference between any two consecutive months is constant. Once you find that common difference, you can work backward to find the starting balance and then predict any future month's balance.