Final answer:
To find the nᵗʰ term of the sequence, we determine the pattern by identifying the common difference between terms. Then, we use the formula Tn = a + (n-1)d, where Tn is the nᵗʰ term, a is the first term, n is the position of the term, and d is the common difference.
Step-by-step explanation:
The given sequence is 10, 100, 190, 280, 370. To determine its nth term, we need to find a pattern in the sequence. Notice that the first term is 10 and each subsequent term increases by 90. This means that the common difference between terms is 90. We can express the nth term using the formula:
Tn = a + (n-1)d
where Tn is the nth term, a is the first term, n is the position of the term, and d is the common difference.
Plugging in the values, we get:
Tn = 10 + (n-1)90
Simplifying further, we get:
Tn = 90n - 80