From the question it is given that,
First term a = \[3\]
n = \[8\]
S = \[192\]
We know that, \[{{S}_{n}}\] = (n/2) (2a + (n – 1)d)
Therefore, common difference d is \[6\].
In an A.P. (with usual notations) : (v) given \[\mathbf{a}\text{ }=\text{ }\mathbf{3},\text{ }\mathbf{n}\text{ }=\text{ }\mathbf{8},\text{ }\mathbf{S}\text{ }=\text{ }\mathbf{192}\], find d.
In an A.P. (with usual notations) : (v) given \[\mathbf{a}\text{ }=\text{ }\mathbf{3},\text{ }\mathbf{n}\text{ }=\text{ }\mathbf{8},\text{ }\mathbf{S}\text{ }=\text{ }\mathbf{192}\], find d.