Question 208315
Describe a pattern in the sequence of numbers. Predict the next number: 
0,1,4,9...
<pre><font size = 4 color = "indigo"><b>
There are two ways to do that:

First way:

{{{0 =0^2}}}
{{{1 =1^2}}}
{{{2 =2^2}}}
{{{3 =3^2}}}

Pattern: Square each whole number.

Using that pattern, the next number is

{{{16=4^2}}}

Second way:

{{{0+1=1}}}
{{{1+3=4}}}
{{{4+5=9}}}
  
Pattern: add the next odd integer to the preceding number.

{{{9+7=16}}}

Edwin</pre>