Write the set $A = {1, 4, 9, 16, . . . . . . . .}$ in set builder form.

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Solution

Consider the given set.

$A = {1, 4, 9, 16, 25, . . . . . .}$

We know that,

$1, 2, 3, 4, 5, \dots \dots,$ are the natural numbers.

And $1, 4, 9, 16, 25, \dots . .,$ are the squares of this numbers.

Therefore,

$A = {x : x = n^{2}, w h e r e n \in N}$

Hence, this is the set of $A$ .

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