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Question
Write the following sets in roster (Tabular) form :
A6 = {x : x = `n/(n+2)`; n ∈ N and n > 5}
Solution
A6 = {x : x = `"n"/("n+2")`; n ∈ N and n > 5}
∵ x = `"n"/("n+2")`
∴ When n = 6,
x = `6/(6+2)`
⇒ x = `(6)/(8)`
⇒ x = `(3)/(4)`
When n = 7,
x = `7/(7+2)`
⇒ x = `(7)/(9)`
When n = 8,
x = `8/(8+2)`
⇒ x = `(8)/(10)`
⇒ x = `(4)/(5)`
when n = 9,
x = `9/(9+2)`
⇒ x = `9/11`
∴ Given set in roster (Tabular) form is
A6 = `{3/4, 7/9, 4/5, 9/11,....}`
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