Final answer:
The nth term of the given sequence is 15.99 + 0.01n, where n is the position of the term in the sequence.
Step-by-step explanation:
To find the nᵐʰ term of the given sequence 16, 16.01, 16.02, 16.03, 16.04, we first observe that the sequence is arithmetic, which means that each term is obtained by adding a constant value, known as the common difference, to the previous term. In this case, the common difference is 0.01. The formula to determine the nᵐʰ term (denoted as Tn) of an arithmetic sequence is given by Tn = a + (n - 1) ⋅ d, where a is the first term and d is the common difference.
For our sequence, a = 16 and d = 0.01, so the nᵐʰ term is:
Tn = 16 + (n - 1) ⋅ 0.01
Simplifying this expression gives us:
Tn = 16 + 0.01n - 0.01
Tn = 15.99 + 0.01n
Therefore, the nᵐʰ term of the sequence is 15.99 + 0.01n.