(i) ( 1, 4, 9, \ldots )
These are perfect squares: ( 1^2, 2^2, 3^2, \ldots )
( n^{th} ) term: ( a_n = n^2 )
Write down the $n^{th}$ term of each of the following sequences:
These are perfect squares: ( 1^2, 2^2, 3^2, \ldots )
( n^{th} ) term: ( a_n = n^2 )
Discuss theoretical concepts, mathematical formulas, and architectural foundations.