2018 UNM-PNM Statewide High School Mathematics Contest II Problems/Problem 1
Problem
Let be two real numbers. Let and be two arithmetic sequences.
Calculate .
Solution
Let be the common difference in the first sequence and the common difference in the second sequence. Thus, and . In addition, and . Consequently or Since and , we have which simplifies to . - Juno
See also
2018 UNM-PNM Contest II (Problems • Answer Key • Resources) | ||
Preceded by First question |
Followed by Problem 2 | |
1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 | ||
All UNM-PNM Problems and Solutions |