1. **State the problem:** We are given an arithmetic progression (A.P.) with the first few terms 72, 68, 64, 60, … and we need to find which term is zero.
2. **Recall the formula for the nth term of an A.P.:**
$$a_n = a_1 + (n-1)d$$
where $a_n$ is the nth term, $a_1$ is the first term, $d$ is the common difference, and $n$ is the term number.
3. **Identify the known values:**
- First term, $a_1 = 72$
- Common difference, $d = 68 - 72 = -4$
4. **Set the nth term equal to zero and solve for $n$:**
$$0 = 72 + (n-1)(-4)$$
5. **Simplify the equation:**
$$0 = 72 - 4(n-1)$$
$$4(n-1) = 72$$
$$n-1 = \frac{72}{4} = 18$$
$$n = 18 + 1 = 19$$
6. **Interpretation:** The 19th term of the A.P. is zero.
**Final answer:** The term of the A.P. that is zero is the 19th term.
Ap Zero Term 368Aaf
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