Question

Express {x: x= n/ (n+1), n is a natural number less than 7} in roster form.

(a) {^1⁄2, ^2⁄3, ^4⁄5, ^6⁄7}

(b) {^1⁄2, ^2⁄3, ^3⁄4, ^4⁄5, ^5⁄6, ^6⁄7, ^7⁄8}

(c) {^1⁄2, ^2⁄3, ^3⁄4, ^4⁄5, ^5⁄6, ^6⁄7}

(d) Infinite set

I had been asked this question by my school teacher while I was bunking the class.

This interesting question is from Types of Set in portion Basic Structures: Sets, Functions, Sequences, Sums and Matrices of Discrete Mathematics

Answer 1

The correct choice is (c) {^1⁄2, ^2⁄3, ^3⁄4, ^4⁄5, ^5⁄6, ^6⁄7}

To explain: n/(n+1) = 1/(1+1) = ^1⁄2 and n>7.