2024 AMC 12A Problems/Problem 21
Problem
Suppose that 
and the sequence 
satisfies the recurrence relation ![\[\frac{a_n -1}{n-1}=\frac{a_{n-1}+1}{(n-1)+1}\]](http://latex.artofproblemsolving.com/a/8/3/a83f618893faee660d62f76743a90ecfbecf74f2.png)
for all 
What is the greatest integer less than or equal to ![\[\sum^{100}_{n=1} a_n^2?\]](http://latex.artofproblemsolving.com/0/f/3/0f327ec398b8186c05df6471bbecad3dbce2e296.png)
See also
| 2024 AMC 12A (Problems • Answer Key • Resources) | |
| Preceded by Problem 20 |
Followed by Problem 22 |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | |
| All AMC 12 Problems and Solutions | |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
