the second term is mixed fraction 6 1/2 and the tenth term is mixed fraction 18 1/2, determine the formula for the nth term.
To find the formula for the nth term, we need to determine the pattern in the given sequence.
The second term is 6 1/2, which can be written as 13/2. The tenth term is 18 1/2, which can be written as 37/2.
We can notice that each term is increasing by 6 each time.
Therefore, the formula for the nth term could be:
Term n = (n - 1) * 6 + 13/2
This formula calculates the nth term by multiplying (n - 1) by 6, which represents the difference between consecutive terms, and adding 13/2, the initial term (second term in the sequence).