SOLUTION: What is the next number that comes into the following series.... 1, 9, 36, 100, 225,

Algebra ->  Sequences-and-series -> SOLUTION: What is the next number that comes into the following series.... 1, 9, 36, 100, 225,       Log On


   

Question 978079: What is the next number that comes into the following series.... 1, 9, 36, 100, 225,
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
1^2, 3^2, 6^2, 10^2, 15^2. The next one should be 21^2, since the difference in the squares is one more for each 1 to 3 is 2, 3to 6 is 3; 6 to 10 is 4; 10 to 15 is 5.
21^2=441.