Which term of the A.P. 4, 9, 14, ldots is 224 | vedclass

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(B) For the given $A.P.$,the first term $a = 4$ and the common difference $d = 9 - 4 = 5$.Suppose,the $n^{th}$ term $T_n$ of the $A.P.$ is $224$.The f

Vedclass · Accepted Answer

$45$

Vedclass · Answer

(B) For the given $A.P.$,the first term $a = 4$ and the common difference $d = 9 - 4 = 5$.Suppose,the $n^{th}$ term $T_n$ of the $A.P.$ is $224$.The formula for the $n^{th}$ term is $T_n = a + (n - 1)d$.Substituting the values:$224 = 4 + (n - 1)5$Subtracting $4$ from both sides:$220 = 5(n - 1)$Dividing by $5$:$44 = n - 1$Adding $1$ to both sides:$n = 45$Thus,the $45^{th}$ term of the $A.P.$ is $224$.

Which term of the $A.P.$ $4, 9, 14, \ldots$ is $224$ (in $^{th}$)?

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