Which term of the A.P. 13, 20, 27, 34, ldots | vedclass

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Question

(B) The given $A.P.$ is $13, 20, 27, 34, \ldots$Here,the first term $a = 13$ and the common difference $d = 20 - 13 = 7$.Let the $n^{th}$ term be $a_n

Vedclass · Accepted Answer

$54$

Vedclass · Answer

(B) The given $A.P.$ is $13, 20, 27, 34, \ldots$Here,the first term $a = 13$ and the common difference $d = 20 - 13 = 7$.Let the $n^{th}$ term be $a_n = 384$.The formula for the $n^{th}$ term of an $A.P.$ is $a_n = a + (n - 1)d$.Substituting the values: $384 = 13 + (n - 1)7$.$384 - 13 = (n - 1)7$.$371 = (n - 1)7$.$n - 1 = 371 / 7 = 53$.$n = 53 + 1 = 54$.Therefore,the $54^{th}$ term of the $A.P.$ is $384$.

Which term of the $A.P.$ $13, 20, 27, 34, \ldots$ is $384$ (in $^{th}$)?

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