Which term of the A.P. 71, 68, 65, ldots is i | vedclass

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(D) The given $A.P.$ is $71, 68, 65, \ldots$.Here,the first term $a = 71$ and the common difference $d = 68 - 71 = -3$.We want to find the first negat

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$25$

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(D) The given $A.P.$ is $71, 68, 65, \ldots$.Here,the first term $a = 71$ and the common difference $d = 68 - 71 = -3$.We want to find the first negative term,so we set the $n^{th}$ term $a_n The formula for the $n^{th}$ term is $a_n = a + (n - 1)d$.Substituting the values: $71 + (n - 1)(-3) $71 - 3n + 3 $74 - 3n $74 $n > \frac{74}{3} \approx 24.66$.Since $n$ must be an integer,the smallest integer greater than $24.66$ is $25$.Therefore,the $25^{th}$ term is the first negative term.

Which term of the $A.P.$ $71, 68, 65, \ldots$ is its first negative term?

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