In the sequence –35, –24, –13, –2, ..., what is the 50th term?1 pointA. 482B. 493C. 504D. 515
Question
In the sequence –35, –24, –13, –2, ..., what is the 50th term?1 pointA. 482B. 493C. 504D. 515
Solution
This is an arithmetic sequence where each term increases by 11 from the previous term.
The formula for the nth term of an arithmetic sequence is a + (n - 1)d, where a is the first term, d is the common difference, and n is the term number.
In this case, a = -35, d = 11, and n = 50.
Substituting these values into the formula gives:
-35 + (50 - 1) * 11 = -35 + 49 * 11 = -35 + 539 = 504
So, the 50th term of the sequence is 504. Therefore, the answer is C. 504.
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