Here is a set,
$A = \{0,3,8,15,24,35,\ldots\}$
I have to write its set builder notation. I am out of ideas. Can anyone please provide a hint?
Thanks
Here is a set,
$A = \{0,3,8,15,24,35,\ldots\}$
I have to write its set builder notation. I am out of ideas. Can anyone please provide a hint?
Thanks
Notice that the terms are $1$ less than the perfect squares, so are of the form $ n^2 -1 . $ Then, we can write $ A = \{ n^2-1 \mid n\in\mathbb{N} \} .$
Look at the differences $8-3$, $15-8$, $24-15$, $35-24$.