1. **State the problem:** We are given an arithmetic progression (AP) with first term $a = 28$, common difference $d = -4$, and number of terms $n = 7$. We need to find the $n$th term, denoted $a_n$. 2. **Formula for the $n$th term of an AP:** $$a_n = a + (n-1)d$$ This formula tells us that to find the $n$th term, we start from the first term $a$ and add the common difference $d$ multiplied by $(n-1)$. 3. **Substitute the given values:** $$a_7 = 28 + (7-1)(-4)$$ 4. **Simplify inside the parentheses:** $$a_7 = 28 + 6 \times (-4)$$ 5. **Multiply:** $$a_7 = 28 + \cancel{6} \times (-4) = 28 - 24$$ 6. **Calculate the final value:** $$a_7 = 4$$ **Answer:** The 7th term of the arithmetic progression is $4$.