Final answer:
The nᵗʰ term of the sequence can be found using the formula an = -3 + 0.01(n - 1), where n is the position of the term in the sequence.
Step-by-step explanation:
To determine the nth term of the sequence -3, -2.99, -2.98, -2.97, -2.96, we first observe the pattern of the sequence. Each term is increasing by 0.01. Therefore, we can derive a function for the nth term based on this constant difference.
To find the first term, we can use the sequence's starting value, which is -3. Since the sequence increases by 0.01, the second term is -3 + 0.01(1), where 1 represents the first increment from the starting term. Similarly, the third term is -3 + 0.01(2), and so forth.
Therefore, the nth term, represented as an, can be calculated using the formula an = -3 + 0.01(n - 1). By plugging in the desired value for n, you will find the corresponding term in the sequence.
The given sequence is a decreasing sequence with a common difference of 0.01. To find the nth term, we need to determine the pattern and formula for the sequence. In this case, the first term is -3 and each subsequent term is obtained by subtracting 0.01 from the previous term. Therefore, the nth term can be represented as:
Tn = -3 - (n-1) * 0.01
For example, when n = 1, the first term is -3. When n = 2, the second term is -3 - (2-1) * 0.01 = -2.99. By substituting the value of n in the formula, we can find the value of the nth term for any given n.