T_2 = mixed fraction 6 1/2 and T_10 = mixed fraction 18 1/2, determine the formula of the nth term.
To determine the formula of the nth term, we need to find a pattern between the terms T_2 and T_10.
From the given information, we know that T_2 is a mixed fraction 6 1/2, and T_10 is a mixed fraction 18 1/2.
From T_2 to T_10, each term increases by 12.
So, we can write the formula for the nth term as:
T_n = T_2 + (n-2) * 12
Simplifying the equation, we get:
T_n = 6 1/2 + (n-2) * 12
Therefore, the formula for the nth term is T_n = 6 1/2 + (n-2) * 12.