Final answer:
To find the nᵗʰ term of the arithmetic sequence, subtract the third term from the fifth term to find the common difference. Then, use the formula aₙ = a₁ + (n - 1)d, where aₙ is the nᵗʰ term, a₁ is the first term, n is the term number, and d is the common difference. Substituting the given values, the nᵗʰ term of the sequence is 2008 + (n - 1)2000.
Step-by-step explanation:
To determine the nᵗʰ term of the arithmetic sequence, we need to find the common difference first. The common difference is the difference between consecutive terms in the sequence. We can find the common difference by subtracting the third term from the fifth term: 4008 - 2008 = 2000.
Once we have the common difference of 2000, we can use the formula for the nᵗʰ term of an arithmetic sequence: aₙ = a₁ + (n - 1)d, where aₙ represents the nᵗʰ term, a₁ represents the first term, n represents the term number, and d represents the common difference. Substituting the given values, we have aₙ = 2008 + (n - 1)2000.
This equation gives us the general formula for the nᵗʰ term of the sequence. So, the nᵗʰ term of the arithmetic sequence is 2008 + (n - 1)2000.