Can any term of the A.P. 14, 18, 22, ldots be | vedclass

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(A) The given $A.P.$ is $14, 18, 22, \ldots$Here,the first term $a = 14$ and the common difference $d = 18 - 14 = 4$.Let the $n^{th}$ term of the $A.P

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$33^{rd}$

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(A) The given $A.P.$ is $14, 18, 22, \ldots$Here,the first term $a = 14$ and the common difference $d = 18 - 14 = 4$.Let the $n^{th}$ term of the $A.P.$ be $142$.The formula for the $n^{th}$ term is $a_n = a + (n - 1)d$.Substituting the values: $142 = 14 + (n - 1)4$.$142 - 14 = (n - 1)4$.$128 = (n - 1)4$.$n - 1 = 128 / 4 = 32$.$n = 32 + 1 = 33$.Since $n$ is a positive integer,$142$ is the $33^{rd}$ term of the $A.P.$

Can any term of the $A.P.$ $14, 18, 22, \ldots$ be $142$? If yes,which term?

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