Question

If A={1,1/4,1/9,1/16,1/25}
then write 'A' in set builder form.​

Answer 1

Step-by-step explanation:

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Answer 2

Given,

$A=\{1,\frac{1}{4},\frac{1}{9},\frac{1}{16},\frac{1}{25}\}$

Our goal is to find a function that generates the elements of set A . In other words, we have to find one form which represents all of these elements of A.

Here,

$A = \{\frac{1}{1^2},\frac{1}{2^2},\frac{1}{3^2}, \frac{1}{4^2},\frac{1}{5^2}\}$

Which shows that the form $\frac{1}{n^2},\forall n\in \mathbb{N},\:n\leq 5$ represents all the elements of A

Then, $A=\{\frac{1}{n^2}:\forall n\in\mathbb{N},n\leq 5\}$ is the required set builder form of A