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Question

(C) The given series is $5, 8, 11, 14, \ldots$This is an Arithmetic Progression $(A.P.)$ where the first term $a = 5$ and the common difference $d = 8

Vedclass · Accepted Answer

$106$

Vedclass · Answer

(C) The given series is $5, 8, 11, 14, \ldots$This is an Arithmetic Progression $(A.P.)$ where the first term $a = 5$ and the common difference $d = 8 - 5 = 3$.We need to find the term $n$ such that the $n^{th}$ term $a_n = 320$.The formula for the $n^{th}$ term of an $A.P.$ is $a_n = a + (n - 1)d$.Substituting the values: $320 = 5 + (n - 1) 	imes 3$.$320 - 5 = (n - 1) 	imes 3$.$315 = (n - 1) 	imes 3$.$n - 1 = \frac{315}{3} = 105$.$n = 105 + 1 = 106$.Therefore,the $106^{th}$ term of the series is $320$.

Fill in the blank space for the given series with the correct alternative.
Which term of the series $5, 8, 11, 14, \ldots$ is $320$ (in $^{th}$)?

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Fill in the blank space for the given series with the correct alternative.Which term of the series $5, 8, 11, 14, \ldots$ is $320$ (in $^{th}$)?