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(C) Given the $AP: -3, -\frac{1}{2}, 2, \ldots$The first term $a = -3$.The common difference $d = a_2 - a_1 = -\frac{1}{2} - (-3) = -\frac{1}{2} + 3 =

Vedclass · Accepted Answer

$22$

Vedclass · Answer

(C) Given the $AP: -3, -\frac{1}{2}, 2, \ldots$The first term $a = -3$.The common difference $d = a_2 - a_1 = -\frac{1}{2} - (-3) = -\frac{1}{2} + 3 = \frac{5}{2}$.The formula for the $n^{th}$ term of an $AP$ is $a_n = a + (n - 1)d$.To find the $11^{th}$ term $(n = 11)$:$a_{11} = -3 + (11 - 1) \left( \frac{5}{2} \right)$$a_{11} = -3 + 10 \left( \frac{5}{2} \right)$$a_{11} = -3 + 25$$a_{11} = 22$.Therefore,the correct choice is $C$.

Choose the correct choice in the following and justify: the $11^{th}$ term of the $AP: -3, -\frac{1}{2}, 2, \ldots$ is

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