Question

set builder form of (2,6,18,54,162)​

Answer 1

Step-by-step explanation:

Given :-

The set ={2,6,18,54,162}

To find:-

Write the set builder form of the given set?

Solution:-

Given set is {2,6,18,54,162}

2=2×3^(1-1)

6=2×3^(2-1)

18=2×3^(3-1)

54=2×3^(4-1)

162=2×3^(5-1)

Set builder form = {X/X = 2×3^(n-1) , n€N}

(or)

Given set is A={2,6,18,54,162}

2=2×3^0

6=2×3^1

18=2×3^2

54=2×3^3

162=2×3^4

Set builder form = {X/X=2×3^n ,n€ W}

Answer:-

Set builder form of the given set is

{X/X = 2×3^(n-1) , n€N}

(or)

{X/X=2×3^n ,n€ W}

Additional information:-

Set builder form or Rule method:-

In this method a set is described by using a representative and stating the property or properties which the elements of the set satisfy,through the representative.

• It may be observed that we describe the set by using a symbol (x or y or z etc.) for all elements of the set.