CBSE Class 11-science Answered

(I) 3 = 3 × 1, 6 = 3 × 2, 9 = 3 × 3, 12 = 3 × 4.

So, {3, 6, 9, 12} = {x : x = 3n, n is a natural number less than or equal to 4.}

(ii) 2 = 2¹, 4 = 2², 8 = 2³, 16 = 2⁴, 32 = 2⁵.

So, {2, 4, 8, 16, 32} = {x : x = 2ⁿ, n is a natural number less than or equal to 5.}

(iii) 5 = 5¹, 25 = 5², 125 = 5³, 625 = 5⁴.

So, {5, 25, 125, 625} = {x : x = 5ⁿ, n is a natural number less than or equal to 4.}

(iv) 2 = 2 × 1, 4 = 2 × 2, 6 = 2 × 3 ….

So, {2, 4, 6 … } = {x : x = 2n, n is a natural number.}

(v) 1 =1², 4 = 2², 9 = 3², … 100 = 10².

So, {1, 4, 9, … 100 } = {x : x = n², n is a natural number less than or equal to 10.}