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Mathematics

Write the following set in roster (Tabular) form :

A6 = {x:x=nn+2;nN and n>5}{\Big{x : x = \dfrac {n}{n+2}; n ∈ N \text{ and } n>5\Big}}

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Answer

A6 = {x:x=nn+2;nN and n>5}{\Big{x : x = \dfrac {n}{n+2}; n ∈ N \text{ and } n>5\Big}}

When n = 6

66+2=68\dfrac{6}{6+2} = \dfrac{6}{8}

When n = 7

77+2=79\dfrac{7}{7+2} = \dfrac{7}{9}

When n = 8

88+2=810\dfrac{8}{8+2} = \dfrac{8}{10}

When n = 9

99+2=911\dfrac{9}{9+2} = \dfrac{9}{11}

A6 = {x:x=68,79,810,911,...............}{\Big{x : x = \dfrac {6}{8}, \dfrac {7}{9}, \dfrac {8}{10}, \dfrac {9}{11},……………\Big}}

A6 = {34,79,45,911,...............}{\Big{\dfrac{3}{4}, \dfrac {7}{9}, \dfrac {4}{5}, \dfrac {9}{11},……………\Big}}

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