Question

{1,4,9___100} how to written in Set-builder form

Answer 1

Answer:

First we write nth term

In this series difference of consecutive terms is in AP . So nth term will be in form of

$a {n}^{2} + bn + c$

Put n=1 , n=2 and n= 3 for values of a , b and c

It's general approach for these kind of questions.

Here it ' s obvious that nth term is n^2

Set Boulder form

$\{ \: x \: : x = {n}^{2} \: </strong><strong>,</strong><strong> \: n \in \:</strong><strong>N</strong><strong> \: \: \: </strong><strong>,</strong><strong> 1 \leqslant n \leqslant 10 \}$