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(B) Given that the $A.P.$ is $10, 7, 4, \ldots$The first term,$a = 10$.The common difference,$d = a_2 - a_1 = 7 - 10 = -3$.The formula for the $n^{th}

Vedclass · Accepted Answer

$-77$

Vedclass · Answer

(B) Given that the $A.P.$ is $10, 7, 4, \ldots$The first term,$a = 10$.The common difference,$d = a_2 - a_1 = 7 - 10 = -3$.The formula for the $n^{th}$ term of an $A.P.$ is $a_n = a + (n - 1)d$.To find the $30^{th}$ term $(n = 30)$:$a_{30} = 10 + (30 - 1)(-3)$$a_{30} = 10 + (29)(-3)$$a_{30} = 10 - 87$$a_{30} = -77$Hence,the correct answer is $B$.

Choose the correct choice in the following and justify: $30^{th}$ term of the $AP: 10, 7, 4, \ldots$ is

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