{2 5 10 17 26 37} set in builder form
Answers
Answered by
8
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......see the change
Your sequence is the squares + 1
You formula is
n² +1 .................this generates your SET but you must state your Limits
n² +1 where Integer n>0
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......see the change
Your sequence is the squares + 1
You formula is
n² +1 .................this generates your SET but you must state your Limits
n² +1 where Integer n>0
Similar questions