Question

Write the following sets in roster (Tabular) form :
A₆ = {x : x = `n/(n+2)`; n ∈ N and n > 5}

Answer 1

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,....}`