Mathematics
Mathematics
Problem
The subscription fee for an online course for four consecutive weeks is ₹120, ₹125, ₹130 and ₹135. (i) Does this sequence of fees have a constant difference between successive terms? (ii) If yes, state that constant difference.Intuitive explanation
This problem is about recognizing arithmetic sequences—patterns where consecutive terms increase or decrease by the same fixed amount. The key insight is to simply subtract each fee from the next one and check if you get the same result every time. If all differences match, you've found a constant difference; if they don't, the sequence isn't arithmetic. This skill helps you spot predictable patterns in real-world data like pricing or growth.
Intuitive explanation
This problem is about recognizing arithmetic sequences—patterns where consecutive terms increase or decrease by the same fixed amount. The key insight is to simply subtract each fee from the next one and check if you get the same result every time. If all differences match, you've found a constant difference; if they don't, the sequence isn't arithmetic. This skill helps you spot predictable patterns in real-world data like pricing or growth.