With respect to the usual notations of an A.P | vedclass

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(D) The formula for the sum of $n$ terms of an $A.P.$ is given by $S_{n} = \frac{n}{2}(a + T_{n})$,where $a$ is the first term and $T_{n}$ is the $n^{

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$4$

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(D) The formula for the sum of $n$ terms of an $A.P.$ is given by $S_{n} = \frac{n}{2}(a + T_{n})$,where $a$ is the first term and $T_{n}$ is the $n^{th}$ term.Given values are $S_{n} = 144$,$T_{n} = 28$,and $n = 9$.Substituting these values into the formula:$144 = \frac{9}{2}(a + 28)$Multiply both sides by $2$ and divide by $9$:$144 	imes \frac{2}{9} = a + 28$$16 	imes 2 = a + 28$$32 = a + 28$$a = 32 - 28$$a = 4$Therefore,the first term $a$ is $4$.

With respect to the usual notations of an $A.P.$,if $T_{n} = 28$,$S_{n} = 144$,and $n = 9$,find the first term $a$.

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