To find the nth term, we need to determine the common difference between each term.
From the second term to the tenth term, there are 10 - 2 = 8 terms in between.
The difference between the second term (6 1/2) and the tenth term (18 1/2) is 18 1/2 - 6 1/2 = 12.
Therefore, the common difference is 12/8 = 3/2.
To find the first term, subtract the common difference (3/2) from the second term (6 1/2):
6 1/2 - 3/2 = 6 - 3/2 = 5 1/2.
So, the first term is 5 1/2.
The nth term can be found using the formula:
nth term = first term + (n - 1) * common difference.
Substituting the values we found, we have:
nth term = (5 1/2) + (n - 1) * (3/2)
This is the formula for finding the nth term of the given sequence.
second term= mixed fraction 6 1/2 and Tenth term= mixed fraction 18 1/2, determine the nth term and the first term and
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