Which term of the A.P. 5 frac{1}{2}, 11, 16 f | vedclass

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(A) The given $A.P.$ is $5.5, 11, 16.5, \ldots$Here,the first term $a = 5.5$ and the common difference $d = 11 - 5.5 = 5.5$.We need to find $n$ such t

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$100$

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(A) The given $A.P.$ is $5.5, 11, 16.5, \ldots$Here,the first term $a = 5.5$ and the common difference $d = 11 - 5.5 = 5.5$.We need to find $n$ such that the $n^{th}$ term $a_n = 550$.The formula for the $n^{th}$ term of an $A.P.$ is $a_n = a + (n - 1)d$.Substituting the values: $550 = 5.5 + (n - 1)5.5$.$550 - 5.5 = (n - 1)5.5$.$544.5 = (n - 1)5.5$.$n - 1 = \frac{544.5}{5.5} = 99$.$n = 99 + 1 = 100$.Therefore,the $100^{th}$ term of the $A.P.$ is $550$.

Which term of the $A.P.$ $5 \frac{1}{2}, 11, 16 \frac{1}{2}, \ldots$ is $550$ (in $^{th}$)?

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