Grades 11-12 Video Solutions 2026-2026_11-12

2026_11-12_24

Video Transcription

Video Summary

We can represent the first 15 consecutive natural numbers with the sequence n, n plus 1, n plus 2, all the way up to n plus 14, and the next 9 with n plus 15, n plus 16, all the way to n plus 23. Since the sum of these two sequences are equal to each other, we have 15n plus 105 equals 9n plus 171. Solving for n, our smallest number, we get n equals 11, or answer choice B.