a. The sequence 1, 4, 9, 16, 25 consists of perfect squares of consecutive natural numbers. Starting from 1, the first term is \(1^2\) (1), the second term is \(2^2\) (4), the third term is \(3^2\) (9), the fourth term is \(4^2\) (16), and the fifth term is \(5^2\) (25). Therefore, each term in the sequence represents the square of its position in the order of natural numbers.
b. The algebraic expression that describes how to calculate each term in this sequence using its term number \(n\) (where \(n\) is a positive integer representing the position in the sequence) is:
\[ a_n = n^2 \]
where \(a_n\) is the \(n^{th}\) term of the sequence.
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