Grades 9-10 Video Solutions 2010-Levels 9&10 Video Solutions 2010 problem26

Levels 9&10 Video Solutions 2010 problem26

Video Transcription

Video Summary

The sequence starts with 1, 2, and 3, with each subsequent element calculated by summing the two elements directly before the preceding element and subtracting the preceding element. This yields a pattern: odd-indexed elements equal their own index (e.g., A2011 = 2011), while even-indexed elements are the negative difference between their index and 4. Therefore, A2010 = -(2010 - 4) = -2006. Thus, the 2010th element is -2006.

Keywords

sequence

pattern

odd-indexed

even-indexed

calculation