Final answer:
The nᵗʰ term of the sequence 3, 103, 203, 303, 403 is given by the formula 100 * (n - 1) + 3. This formula reflects that each term is 100 more than the previous one, starting at 3.
Step-by-step explanation:
To determine the nᵗʰ term of the sequence 3, 103, 203, 303, 403, we observe that each term increases by 100 from the preceding term. The first term is 3, which we can think of as 100 * 0 + 3.
Following this pattern, the second term is 100 * 1 + 3, the third term is 100 * 2 + 3, and so on.
Hence, the nᵗʰ term of this sequence would be 100 * (n - 1) + 3, reflecting the initial value of 3 and the increase of 100 for each subsequent term (n - 1 times).
To illustrate this with an example, the 5th term is calculated as 100 * (5 - 1) + 3 = 100 * 4 + 3 = 403, which matches the given sequence.