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Answer :
Final answer:
The term in the arithmetic sequence 1, 5, 9, 13... that is equal to 181 is the 46th term.
Explanation:
To find the term in the arithmetic sequence 1, 5, 9, 13... that is equal to 181, we can use the formula for the nth term of an arithmetic sequence:
nth term = first term + (n - 1) * common difference
In this case, the first term is 1 and the common difference is 4 (since each term increases by 4).
Let's substitute these values into the formula:
181 = 1 + (n - 1) * 4
Simplifying the equation:
181 = 1 + 4n - 4
181 = 4n - 3
Adding 3 to both sides:
184 = 4n
Dividing both sides by 4:
n = 46
Therefore, the term in the arithmetic sequence that is equal to 181 is the 46th term.
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