1992 AHSME Problems/Problem 21
Problem
For a finite sequence of numbers, the Cesáro sum of A is defined to be , where and . If the Cesáro sum of the 99-term sequence is 1000, what is the Cesáro sum of the 100-term sequence ?
Solution
Let us define the Cesáro total of a particular sequence to be n * Cesáro sum. We can see that the Cesáro total is
See also
1992 AHSME (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 • 26 • 27 • 28 • 29 • 30 | ||
All AHSME Problems and Solutions |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.