Determine the arithmetic sequence whose terms is 17 over 12 and eighteenth term is 59 over 12
Answer (1)
Answer:To determine the arithmetic sequence given the first term of 17/12 and the eighteenth term of 59/12, we can use the formula for the nth term of an arithmetic sequence: Where: - is the nth term of the sequence- is the first term of the sequence- is the position of the term in the sequence- is the common difference between terms Given: Substitute these values into the formula: For the first term: For the eighteenth term: Solve for the common difference (d): Therefore, the arithmetic sequence with a first term of 17/12 and eighteenth term of 59/12 has a common difference of 7/34.
