Which term of the A.P. 53, 48, 43, ldots is i | vedclass

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(B) The given $A.P.$ is $53, 48, 43, \ldots$Here,the first term $a = 53$ and the common difference $d = 48 - 53 = -5$.Let the $n^{th}$ term be the fir

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$12^{th}$ term,$-2$

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(B) The given $A.P.$ is $53, 48, 43, \ldots$Here,the first term $a = 53$ and the common difference $d = 48 - 53 = -5$.Let the $n^{th}$ term be the first negative term,so $a_n The formula for the $n^{th}$ term is $a_n = a + (n - 1)d$.Substituting the values: $53 + (n - 1)(-5) $53 - 5n + 5 $58 - 5n $58 $n > 11.6$.Since $n$ must be an integer,the first integer greater than $11.6$ is $n = 12$.Now,find the $12^{th}$ term: $a_{12} = 53 + (12 - 1)(-5) = 53 + 11(-5) = 53 - 55 = -2$.Thus,the $12^{th}$ term is the first negative term,which is $-2$.

Which term of the $A.P.$ $53, 48, 43, \ldots$ is its first negative term? Find that term.

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