Question

2, 4, 8, 16, 32, ...

Write in set builder form.

Class 11 - Mathematics​

Answer 1

Answer:

The set-builder form is

A = { 2^n: n is a natural number , 1≤n≤6}

Step-by-step explanation:

We have to convert the set {2,4,8,16,32}  into set builder form.

The representation of collection of objects by describing the elements with its properties is known set builder form.

It can be seen that

2^n=2^1=22n=21=2

2^n=2^2=42n=22=4

2^n=2^3=82n=23=8

2^n=2^4=162n=24=16

2^n=2^5=322n=25=32

2^n=2^6=642n=26=64

Hence, set {2,4,8,16,32} in set-builder form can be written as

A = { 2^n: n is a natural number , 1≤n≤6}

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Answer 2

Answer:

{x/x =2^n,where n is an integr}