Question

Set builder form of {2,5,10,17}

Answer 1

Answer:

2,5,10,17,26 

first find the differences 

3,5,7.9 

now these also have differences ... called second differences 

2,2,2 

Matching Second differences implies Squares 

So write the squares 

1², 2²,3² etc 

1,4,9,16,25 ....and look carefully at them 

and now match them to your numbers 

1,4,9,16,25 

2,5,10,17,26

The sequence is the squares + 1 

You formula is 

n² +1 .................this generates your SET but you must state your Limits 

A={n² +1 | 0<n<=6}