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To find the n^th term and the three terms of the arithmetic sequence, we first need to determine the common difference (d) and the first term (a₁).
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4 stepsTo find the term and the three terms of the arithmetic sequence, we first need to determine the common difference () and the first term ().
Given:
Find the common difference ().
In an arithmetic sequence, the term can be expressed as .
Using and :Substitute the given values:
Subtract 93 from both sides:
Divide by 4:
Find the first term ().
The general formula for the term of an arithmetic sequence is .
Using and :Add 21 to both sides:
Find the term ().
Using the general formula with and :
Find the first three terms of the sequence.
The first term is .
The second term is .
The third term is .The term of the arithmetic sequence is .
The first three terms of the sequence are .
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