Answer
False statement
Work Step by Step
The general term of the geometric sequence is ${{a}_{1}},{{a}_{1}}r,{{a}_{1}}{{r}^{2}},{{a}_{1}}{{r}^{3}}$$\ldots $
Where ${{a}_{1}}$is the first term and $r$ is the factor between the terms (common ratio).
Common Difference occurs in the arithmetic sequence.
The general term of the arithmetic sequence is ${{a}_{1}},{{a}_{1}}+d,{{a}_{1}}+2d,{{a}_{1}}+3d$$\ldots $
Where ${{a}_{1}}$is the first term and $d$ is the difference between the consecutive terms (common difference).
Thus, a geometric sequence has a common ratio not common difference.
Therefore, the given statement “A geometric sequence has a common difference” is false.
