Question

Identify whether the following sequence is a geometric sequence or not.
$\frac{1}{2},\frac{2}{3},\frac{3}{4},\frac{4}{5}$

Answer 1

For geometric sequence, ratio between subsequent terms should be constant, here,

$\frac{\frac{2}{3}}{\frac{1}{2}}=\frac{2}{3}\times 2=\frac{4}{3};\frac{\frac{3}{4}}{\frac{2}{3}}=\frac{3}{4}\times \frac{3}{2}=\frac{9}{8}+\frac{4}{3}$

$\Rightarrow x$ Not a Geometric sequence.