Question

Represent the following set in Roster form

B = `{y : y  1/(2"n"), "n"∈"N", "n" ≤ 5}`

Answer 1

N = {1, 2, 3, 4, 5}

if, n = 1, y = `1/(2"n") = 1/(2 xx 1) = 1/2`

n = 2, y = `1/(2 xx 2) = 1/4`

n = 3, y = `1/(2 xx 3) = 1/6`

n = 4, y = `1/(2 xx 4) = 1/8`

n = 5, y = `1/(2 xx 5) = 1/10`

∴ B = `{1/2, 1/4, 1/6, 1/8, 1/10}`