Final answer:
The nth term of the given arithmetic sequence is determined using the formula an = a1 + (n-1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the term number. For this sequence, the nth term formula is an = -2.05 + 0.05n.
Step-by-step explanation:
The given sequence is an arithmetic sequence where each term increases by a constant difference. To determine the nth term of the sequence, we start by identifying the common difference. Here, the difference between successive terms is 0.05 (since -1.95 - (-2) = 0.05). The first term (a1) of the sequence is -2. Now we can use the formula for the nth term of an arithmetic sequence, which is:
an = a1 + (n-1)d,
where an is the nth term, a1 is the first term, d is the common difference, and n is the term number.
Substituting the known values into the formula, we get:
an = -2 + (n-1)(0.05).
So, the formula for the nth term is:
an = -2.05 + 0.05n.
To find the value of the nth term, simply plug the term number (n) into the formula.