Final answer:
The nᵗʰ term of the given arithmetic sequence is 400n - 400, where n is the term number, obtained by using the formula for the nᵗʰ term of an arithmetic sequence.
Step-by-step explanation:
To determine the nth term of the sequence 0, 400, 800, 1200, 1600, we look for a pattern in how the terms increase. Each term increases by 400 from the previous term. This type of sequence is known as an arithmetic sequence, where the nth term can be found using the formula Tn = a + (n - 1)d where a is the first term, d is the common difference between terms, and n is the term number.
In this sequence, a = 0 and d = 400. Substituting these values into the formula gives us Tn = 0 + (n - 1) × 400, which simplifies to Tn = 400n - 400. Therefore, the nth term of the given sequence is 400n - 400.
The given sequence is an arithmetic sequence with a common difference of 400. To find the nth term, we need to determine the pattern in the sequence.
By observing the sequence, we can see that each term is obtained by multiplying the position of the term (n) by 400.
Therefore, the nth term of the sequence can be represented as 400n.