Show that the sequence 8, , 4, , ..

MATHEMATICS · Subjective · CBSE · Mathematics · Sequences and Series · Sequences and Series

Problem

Show that the sequence 8,

4\sqrt{2}

, 4,

2\sqrt{2}

, ... is geometric. Hence show that the general term of the sequence is

u_n = 2^{\frac{7}{2} - \frac{1}{2}n}