Asked by Elizabeth Wanjiru on Sep 23, 2024

Find the common ratio of the geometric sequence. 12,14,18,116,...\frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \frac{1}{16},...21,41,81,161,...

A) −18-\frac{1}{8}81
B) 14\frac{1}{4}41
C) 12\frac{1}{2}21
D) −12-\frac{1}{2}21
E) −14-\frac{1}{4}41

Common Ratio

In a geometric sequence, the consistent factor by which each term is multiplied to produce the next term.

Geometric Sequence

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

  • Detect and arrange sequences into either arithmetic or geometric classifications.
  • Calculate the common ratio of geometric sequences.