Final answer:
To find the nth term of the arithmetic sequence, subtract the first term from the second term to find the common difference. Then use the formula an = a1 + (n - 1)d to find the nth term of the sequence.
Step-by-step explanation:
To find the nth term of an arithmetic sequence, you need to know the first term (a1) and the common difference (d). In this case, the first term is 17 and the second term is 517. By subtracting the first term from the second term, we can find the common difference: d = 517 - 17 = 500.
Now, we can use the formula to find the nth term: an = a1 + (n - 1)d. Substituting the given values, we have an = 17 + (n - 1)500.
Therefore, the nth term of the sequence is 17 + (n - 1)500.
The student has asked how to determine the nᵗʰ term of an arithmetic sequence when the first term is 17 and the second term is 517. An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a constant difference to the preceding element. To find the nth term, we use the formula an = a1 + (n - 1)d, where a1 is the first term and d is the common difference. In this case, the common difference d can be calculated as 517 - 17 = 500. Now, the nth term can be expressed as an = 17 + (n - 1)*500, which simplifies to an = 500n - 483.