Find the 97th term of the arithmetic sequence 17, comma, 26, comma, 35, comma, point, point, .17,26,35,...
Question
Find the 97th term of the arithmetic sequence 17, comma, 26, comma, 35, comma, point, point, .17,26,35...
Solution
To find the 97th term of an arithmetic sequence, we can use the formula:
A_n = A_1 + (n - 1) * d
where: A_n is the nth term of the sequence, A_1 is the first term of the sequence, d is the common difference, and n is the position of the term in the sequence.
In this case, A_1 is 17 (the first term), d is 26 - 17 = 9 (the common difference), and n is 97 (since we're looking for the 97th term).
Substituting these values into the formula, we get:
A_97 = 17 + (97 - 1) * 9 A_97 = 17 + 96 * 9 A_97 = 17 + 864 A_97 = 881
So, the 97th term of the sequence is 881.
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