Question

convert the following set in set builder form P={1, 3, 7, 15, 31}​

Answer 1

Answer:

In this form, common property posssessed by each element is written inside the curly brackets.

Given:

{1,3,7,15,..}

Consider,

1=2^1-11=2

1

−1

3=2^2-13=2

2

−1

7=2^3-17=2

3

−1

16=2^4-116=2

4

−1

Now the above set, can be written set builder form as

\bf\{x:\,x=2^n-1,\text{n is a natural number}\}{x:x=2

n

−1,n is a natural number}

Explanation:

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