Which term of the A.P. 112, 107, 102, ldots i | vedclass

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(B) The given $A.P.$ is $112, 107, 102, \ldots$Here,the first term $a = 112$ and the common difference $d = 107 - 112 = -5$.We want to find the first

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$24^{th}$

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(B) The given $A.P.$ is $112, 107, 102, \ldots$Here,the first term $a = 112$ and the common difference $d = 107 - 112 = -5$.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: $112 + (n - 1)(-5) $112 - 5n + 5 $117 - 5n $117 $n > \frac{117}{5}$$n > 23.4$Since $n$ must be an integer,the smallest integer greater than $23.4$ is $24$.Therefore,the $24^{th}$ term is the first negative term.

Which term of the $A.P.$ $112, 107, 102, \ldots$ is its first negative term?

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