Math, asked by anubhav6514, 1 year ago

(2,4,8,16,32)convert into set builder form

Answers

Answered by iitian2020
253
Hello

{2, 4, 8, 16, 32}

It can be seen that 2 = 21, 4 = 22, 8 = 23, 16 = 24, and 32 = 25.

∴ {2, 4, 8, 16, 32} = {x: x = 2n, n∈ N and 1 ≤ n ≤ 5}

Hope it helps.

Answered by SerenaBochenek
151

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=2

2^n=2^2=4

2^n=2^3=8

2^n=2^4=16

2^n=2^5=32

2^n=2^6=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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