Grades 9-10 Video Solutions 2025-2025_9-10

2025_9-10_26

Video Transcription

Video Summary

The sequence starts with \( a_1 = 8 \) and is defined such that each term from the third onward is the mean of all previous terms. It is revealed that \( a_3 \) through \( a_{10} \) are all equal to the average of \( a_1 \) and \( a_2 \). Given \( a_{10} = 26 \), the equation \( 26 = (8 + a_2) / 2 \) is derived. Solving this equation gives \( a_2 = 44 \). The final answer is \( D \).