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

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(C) The sum of the first $n$ terms of an $A.P.$ is given by the formula:$S_n = \frac{n}{2} [2a + (n-1)d]$Given values are $a = 3$,$n = 8$,and $S_n = 1

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$6$

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(C) The sum of the first $n$ terms of an $A.P.$ is given by the formula:$S_n = \frac{n}{2} [2a + (n-1)d]$Given values are $a = 3$,$n = 8$,and $S_n = 192$.Substituting these values into the formula:$192 = \frac{8}{2} [2(3) + (8-1)d]$$192 = 4 [6 + 7d]$Divide both sides by $4$:$48 = 6 + 7d$$48 - 6 = 7d$$42 = 7d$$d = \frac{42}{7} = 6$Therefore,the common difference $d$ is $6$.

With respect to the usual notations of an $A.P.$,if $a=3, n=8$ and $S_{n}=192$,find the common difference $d$.

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