Final answer:
The nᵗʰ term of the arithmetic sequence 11, 99, 187, 275, 363 is found using the formula an = 88n - 77, where n is the term number.
Step-by-step explanation:
The sequence given is 11, 99, 187, 275, 363 which seems to be an arithmetic sequence. To find the nᵗʰ term of this sequence, we first need to determine the common difference. This is done by subtracting any term from the term that follows it. For example, 99 - 11 = 88, 187 - 99 = 88, and so on. This tells us that the common difference is 88.
Now, the formula for the nᵗʰ term of an arithmetic sequence is an = a1 + (n - 1) * d, where a1 is the first term, d is the common difference, and n is the term number. Plugging in the values we have a1 = 11 and d = 88, the nᵗʰ term formula for this sequence is an = 11 + (n - 1) * 88. This can be simplified to an = 88n - 77. Therefore, for any term number n, we can find its value in the sequence using this formula.