Mathematics
Mathematics
Problem
The sequence is given. How should this sequence be classified? a) Infinite AP b) Finite AP c) Not an AP because the difference is not constant d) Geometric progressionIntuitive explanation
This is an arithmetic sequence—a list where consecutive terms change by a constant amount. The key insight is to find that common difference: subtract any term from the next one (e.g., ), and you'll see the pattern repeats throughout. Once you spot that constant step of , you've identified the sequence's fundamental structure, which lets you predict any term and understand how it grows.
Intuitive explanation
This is an arithmetic sequence—a list where consecutive terms change by a constant amount. The key insight is to find that common difference: subtract any term from the next one (e.g., ), and you'll see the pattern repeats throughout. Once you spot that constant step of , you've identified the sequence's fundamental structure, which lets you predict any term and understand how it grows.