Final answer:
To find the nᵗʰ term of the arithmetic sequence 8, 8.01, 8.02, 8.03, 8.04, we use the formula Tₙ = a + (n - 1)d, where Tₙ is the nᵗʰ term, a is the first term, and d is the common difference. For this sequence, the nᵗʰ term is given by Tₙ = 7.99 + 0.01n.
Step-by-step explanation:
The sequence given, 8, 8.01, 8.02, 8.03, 8.04, is an arithmetic sequence because the difference between consecutive terms is constant. To find the nth term of an arithmetic sequence, we use the formula:
Tn = a + (n - 1)d
Where Tn is the nth term, a is the first term, n is the term number, and d is the common difference between the terms.
In this case, a is 8 and d is 0.01. Plugging these values into the formula:
Tn = 8 + (n - 1)(0.01)
Tn = 8 + 0.01n - 0.01
Tn = 7.99 + 0.01n
This formula represents the nth term of the given sequence.