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Answer :
Final answer:
To find the first term of an arithmetic sequence, we can use the formula an = a1 + (n-1)d. Given the 15th term is 143 and the 31st term is 183, the first term of the sequence is 108.
Explanation:
To find the first term of an arithmetic sequence, we can use the formula:
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.
Given that the 15th term is 143 and the 31st term is 183, we can set up two equations:
a15 = a1 + 14d = 143
a31 = a1 + 30d = 183
Solving these two equations simultaneously, we find that the first term of the sequence is 108.
Therefore, the correct answer is (A) 108.
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