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(A) Given the Arithmetic Progression $(A.P.)$ is $200, 196, 192, \ldots$.Here,the first term $a = 200$.The common difference $d = 196 - 200 = -4$.We n

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$51$

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(A) Given the Arithmetic Progression $(A.P.)$ is $200, 196, 192, \ldots$.Here,the first term $a = 200$.The common difference $d = 196 - 200 = -4$.We need to find the term $n$ such that the $n^{th}$ term $T_n = 0$.The formula for the $n^{th}$ term of an $A.P.$ is $T_n = a + (n - 1)d$.Substituting the values,we get $0 = 200 + (n - 1)(-4)$.$200 = 4(n - 1)$.$50 = n - 1$.$n = 51$.Thus,the $51^{st}$ term of the $A.P.$ is $0$.

The $\ldots \ldots \ldots \ldots^{th}$ term of the $A.P.$ $200, 196, 192, \ldots$ is $0$.

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