Question

The set builder form of set (1,2/7,3/17,4/31,5/49)​

Answer 1

Given : set {1,2/7,3/17,4/31,5/49}

To Find : set builder form

Solution:

set builder form  is rule based form

Roster form list all the elements

Given set is in roster form

set {1,2/7,3/17,4/31,5/49}

1/1         1/(1 * 1 + 0)

2/7       2/(2 * 3 + 1)

3/17      3/(3 * 5  + 2)

4/31      4/(4 * 7 + 3)

5/49     5/( 5 * 9  + 4)  

n/(n * (2n - 1) + (n - 1))

=n/( 2n² - n + n - 1)

= n/(2n² - 1)

1 /(2 * 1² - 1)   = 1/1  = 1

2/ (2 * 2² - 1)  = 2/7

3/ (2 * 3² - 1)  = 3/17

4/ (2 * 4² - 1)  = 4/31

5/ (2 * 5² - 1)  = 5/49

Set Builder form

{ n/(2n² - 1)  :  n ∈ Z  ,  1 ≤ n ≤ 5}

Learn More:

set builder form of even number less than 100 - Brainly.in

brainly.in/question/17157513

then write 'A' in set builder form

brainly.in/question/14693410