Grades 11-12 Video Solutions 2012-2012_11-12

Video Transcription

Video Summary

In the given sequence, each term is calculated based on the two preceding terms, with alternating signs based on whether the step is odd or even. Every set of six terms is a negation of the previous six terms, causing their sums to cancel out. Hence, every 12 terms add up to zero. For the first 100 terms, the first 96 terms, which include eight full 12-term cycles, sum to zero. The remaining four terms are 1, 1, 0, and 1, summing up to 3. Therefore, the sum of the first 100 terms is 3.

Keywords

sequence

alternating signs

term calculation

cycle cancellation

sum of terms