Which term of the sequence 5, 8, 11, 14, dots | vedclass

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Question

(A) The given sequence is an Arithmetic Progression $(AP)$ where the first term $a = 5$ and the common difference $d = 8 - 5 = 3$.We need to find the

Vedclass · Accepted Answer

$106$

Vedclass · Answer

(A) The given sequence is an Arithmetic Progression $(AP)$ where the first term $a = 5$ and the common difference $d = 8 - 5 = 3$.We need to find the term $n$ such that $a_n = 320$.The formula for the $n^{th}$ term of an $AP$ is $a_n = a + (n - 1)d$.Substituting the values: $320 = 5 + (n - 1)3$.$320 - 5 = (n - 1)3$.$315 = (n - 1)3$.$n - 1 = \frac{315}{3} = 105$.$n = 105 + 1 = 106$.Therefore,the $106^{th}$ term of the sequence is $320$.

Which term of the sequence $5, 8, 11, 14, \dots$ is $320$?

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