Question

A={1/2,2/5,3/10,4/17,5/26} write this set in set builder form

Answer 1

Set builder form of A={1/2,2/5,3/10,4/17,5/26} is $\left\{\frac{n}{n^{2}+1}: n \in N, n \leq 5\right\}$    

Step-by-step explanation:

Given Data

A={1/2,2/5,3/10,4/17,5/26}

Find the set builder form for the given condition

A={1/2,2/5,3/10,4/17,5/26}

In the above condition it is clear that the Denominator is sum of 1 and square of the numerator.

Numerator = 1

Then Denominator = (Numerator)² + 1

Denominator = 1² + 1 = 1 + 1 = 2

If numerator is taken as n then denominator will be n²+1 for the given condition A={1/2,2/5,3/10,4/17,5/26}

The given condition A={1/2,2/5,3/10,4/17,5/26}  is in the form of $A = [\frac{n}{n^{2}+1} ]$

$n = 1 ; (n^2 +1) = 2 => \frac{1}{2}$

$n = 2 ; (n^2 +1) =5 => \frac{2}{5}$

$n = 3 ; (n^2 +1) = 10 => \frac{3}{10}$

$n = 4 ; (n^2 +1) = 5 => \frac{4}{17}$

$(n = 5) , (n^{2} + 1) = 25 => \frac{5}{25}$

Therefore the set builder form the given condition A={1/2,2/5,3/10,4/17,5/26 is $\left\{\frac{n}{n^{2}+1}: n \in N, n \leq 5\right\}$

To Learn More ...

1) Describe in set builder form {1/2,2/5,3/10,4/17,5/26,6/37,7/50}

https://brainly.in/question/5193200

2) Find set builder form A={2,5,10,17,26}

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