Which term of the AP : 3, 8, 13, 18, ldots is | vedclass

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(B) The given $AP$ is $3, 8, 13, 18, \ldots$For this $AP$,the first term $a = 3$.The common difference $d = a_2 - a_1 = 8 - 3 = 5$.Let the $n^{th}$ te

Vedclass · Accepted Answer

$16$

Vedclass · Answer

(B) The given $AP$ is $3, 8, 13, 18, \ldots$For this $AP$,the first term $a = 3$.The common difference $d = a_2 - a_1 = 8 - 3 = 5$.Let the $n^{th}$ term of this $AP$ be $78$.The formula for the $n^{th}$ term is $a_n = a + (n - 1)d$.Substituting the values,we get $78 = 3 + (n - 1)5$.Subtracting $3$ from both sides,$75 = (n - 1)5$.Dividing by $5$,we get $n - 1 = 15$.Therefore,$n = 16$.Hence,the $16^{th}$ term of this $AP$ is $78$.

Which term of the $AP : 3, 8, 13, 18, \ldots$ is $78$ (in $^{th}$)?

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