The 10^{text{th}} term of the AP: 5, 8, 11, 1 | vedclass

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Question

(A) The given $AP$ is $5, 8, 11, 14, \ldots$Here,the first term $a = 5$.The common difference $d = 8 - 5 = 3$.We need to find the $10^{	ext{th}}$ ter

Vedclass · Accepted Answer

$32$

Vedclass · Answer

(A) The given $AP$ is $5, 8, 11, 14, \ldots$Here,the first term $a = 5$.The common difference $d = 8 - 5 = 3$.We need to find the $10^{	ext{th}}$ term $(a_{10})$.The formula for the $n^{	ext{th}}$ term of an $AP$ is $a_n = a + (n - 1)d$.Substituting the values $a = 5$,$n = 10$,and $d = 3$:$a_{10} = 5 + (10 - 1) 	imes 3$$a_{10} = 5 + 9 	imes 3$$a_{10} = 5 + 27$$a_{10} = 32$.Therefore,the $10^{	ext{th}}$ term is $32$.

The $10^{\text{th}}$ term of the $AP: 5, 8, 11, 14, \ldots$ is

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