Final answer:
To determine the nᵗʰ term of the sequence 0, 0.05, 0.1, 0.15, 0.2, we can use the nth term formula for an arithmetic sequence, where the first term is 0 and the common difference is 0.05. Simplifying the formula, we get the nᵗʰ term as 0.05n - 0.05.
Step-by-step explanation:
The given sequence is 0, 0.05, 0.1, 0.15, 0.2. To determine its nᵗʰ term, we can observe that each term increases by 0.05. Thus, the common difference between the terms is 0.05. We can express this in the form of an arithmetic sequence, where the first term (a) is 0 and the common difference (d) is 0.05.
Using the nth term formula for an arithmetic sequence, we have
an = a + (n-1)d
Substituting the values, we get:
an = 0 + (n-1)(0.05)
Simplifying further:
an = 0.05n - 0.05
Therefore, the nᵗʰ term of the given sequence is 0.05n - 0.05.