Question

$4,\frac{8}{3},\frac{16}{9},\frac{32}{27}..$ is a

• A. arithmetic sequence
• B. geometric sequence
• C. geometric series
• D. harmonic sequence

Answer 1

The correct option is B geometric sequence

lets check the ratio between the consecutive terms.

$\frac{\frac{8}{3}}{4}=\frac{8}{12}=\frac{2}{3}$

Again take the ratio between next consecutive terms.

$\frac{\frac{16}{9}}{\frac{8}{3}}=\frac{16\times 3}{9\times 8}=\frac{2}{3}$

Here the common ratio is same $\frac{2}{3}$ throughout.

Hence, $4,\frac{8}{3},\frac{16}{9},\frac{32}{27}..$ is a geometric sequence.