Final answer:
To determine the nᵗʰ term of the sequence, we need to find the pattern. Each term is obtained by adding 6 to the previous term. The general formula to find the nᵗʰ term is an = a1 + (n - 1)d, where an is the nᵗʰ term, a1 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, 16, 22, 28, 34. To determine its nᵗʰ term, we need to find the pattern in the sequence. We can observe that each term is obtained by adding 6 to the previous term. So, the difference between consecutive terms is 6. Therefore, the general formula to find the nᵗʰ term is:
an = a1 + (n - 1)d
where an is the nᵗʰ term, a1 is the first term, n is the position of the term, and d is the common difference. In this case, a1 = 10 and d = 6. Plugging in the values, we get:
an = 10 + (n - 1)6
This formula can be used to find the value of any term in the sequence by substituting the value of n.