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Common Difference from Term Conditions

Algebra · Math Count PH 2024 1165
In an arithmetic progression, the sum of the 4th and 8th terms is $140$ and the 16th term is $-28$. What is the common difference of the arithmetic progression? The answer is in the form $-\frac{\alpha}{\beta}$ for coprime integers $\alpha$ and $\beta$. Input the answer as the sum $\alpha +\beta$.