Which term of the A.P. 108, 103, 98, ldots is | vedclass

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(B) The given $A.P.$ is $108, 103, 98, \ldots$ Here,the first term $a = 108$ and the common difference $d = 103 - 108 = -5$. We want to find the first

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$23^{rd}$

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(B) The given $A.P.$ is $108, 103, 98, \ldots$ Here,the first term $a = 108$ and the common difference $d = 103 - 108 = -5$. 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: $108 + (n - 1)(-5) $108 - 5n + 5 $113 - 5n $113 $n > \frac{113}{5} = 22.6$. Since $n$ must be an integer,the smallest integer greater than $22.6$ is $23$. Therefore,the $23^{rd}$ term is the first negative term.

Which term of the $A.P.$ $108, 103, 98, \ldots$ is its first negative term?

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