The sequence is given to be:

The nth term of an arithmetic sequence is calculated using the formula:

where a₁ is the first term, n is the number of terms, and d is the common difference.
From the given sequence, the following parameters can be gotten:

Therefore, the parameters can be substituted into the formula to find the 52nd term:

The 52nd term is -438.
<u>Answer</u>
14 4/9
<u>Turn 9 2/3 into an Improper Fraction</u>
Multiply 9*3 and get 27. Now add 2 and get 29 (Denominator stays the same)
9 2/3 = 29/3
<u>Turn 4 7/9 into an Improper Fraction</u>
Multiply 4*9 and get 36. Now add 7 and get 43 (Denominator stays the same)
4 7/9 = 43/9
<u>Add</u>
29/3 + 43/9 = 130/9
<u>Turn 130/9 into a Mixed Number (Divide)</u>
130/9 = 14 4/9
Hope This Helps!
I cant answer if i dont know what math would you mind telling me what math