Final answer:
The nth term of the sequence is determined using the formula T(n) = 9 + 300(n - 1), which reflects the pattern of the sequence with each term increasing by 300.
Step-by-step explanation:
The question asks to determine the nth term of the sequence 9, 309, 609, 909, 1209. Observing the pattern, we can see that each term increases by 300. To find the nth term, we can start with the first term (9) and add the common difference (300) multiplied by the term's position minus 1. Therefore, the nth term T(n) can be calculated using the formula:
T(n) = 9 + 300(n - 1)
To demonstrate this with an example, the second term is calculated as T(2) = 9 + 300(2 - 1) = 309, which matches the given sequence.
The given sequence is 9, 309, 609, 909, 1209. To determine its nth term, we can observe that the first term is 9 and each subsequent term is obtained by adding 300 to the previous term. This means that the nth term can be calculated using the formula:
nth term = 9 + (n-1) * 300
For example, the 1st term is 9 + (1-1) * 300 = 9. The 2nd term is 9 + (2-1) * 300 = 309. And so on. Therefore, the nth term of the given sequence is 9 + (n-1) * 300.