Which term of the AP 5, 13, 21, ldots is 181? | vedclass

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Question

(A) The given arithmetic progression $(AP)$ is $5, 13, 21, \ldots$Here,the first term $a = 5$.The common difference $d = 13 - 5 = 8$.Let the $n^{th}$

Vedclass · Accepted Answer

$23^{rd}$

Vedclass · Answer

(A) The given arithmetic progression $(AP)$ is $5, 13, 21, \ldots$Here,the first term $a = 5$.The common difference $d = 13 - 5 = 8$.Let the $n^{th}$ term of the $AP$ be $181$,i.e.,$a_n = 181$.The formula for the $n^{th}$ term of an $AP$ is $a_n = a + (n - 1)d$.Substituting the values: $181 = 5 + (n - 1)8$.Subtracting $5$ from both sides: $176 = (n - 1)8$.Dividing by $8$: $n - 1 = 176 / 8 = 22$.Adding $1$ to both sides: $n = 23$.Therefore,$181$ is the $23^{rd}$ term of the $AP$.

Which term of the $AP$ $5, 13, 21, \ldots$ is $181$?

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