For each of the following A.P.s,find the n^{t | vedclass

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(A) The given $A.P.$ is $\frac{4}{3}, 2, \frac{8}{3}, \frac{10}{3}, \ldots$Here,the first term $a = \frac{4}{3}$.The common difference $d = 2 - \frac{

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$T_n = \frac{2n+2}{3}$

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(A) The given $A.P.$ is $\frac{4}{3}, 2, \frac{8}{3}, \frac{10}{3}, \ldots$Here,the first term $a = \frac{4}{3}$.The common difference $d = 2 - \frac{4}{3} = \frac{6-4}{3} = \frac{2}{3}$.The formula for the $n^{th}$ term of an $A.P.$ is $T_n = a + (n-1)d$.Substituting the values,we get $T_n = \frac{4}{3} + (n-1)\frac{2}{3}$.$T_n = \frac{4}{3} + \frac{2n}{3} - \frac{2}{3}$.$T_n = \frac{2n + 2}{3}$.

For each of the following $A.P.s$,find the $n^{th}$ term: $\frac{4}{3}, 2, \frac{8}{3}, \frac{10}{3}, \ldots$

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