Question

What is the common ratio for the geometric sequence below, written as a fraction?

768, 480, 300, 187.5, …


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Answer 1

$\textbf{Given:}$

$768,\;480,\;300,\;187.5,........$

$\textbf{To find:}$

$\text{Common ratio of the given G.P}$

$\textbf{Concept:}$

$\text{A sequence is said to be Geometric sequence if each}$

$\text{term is obtained by multiplying a constant quantity to the}$

$\text{immediately preceeding term.}$

$\textbf{Solution:}$

$\text{Consider,}$

$768,\;480,\;300,\;187.5,........$

$\textbf{Common ratio}=\dfrac{t_2}{t_1}=\dfrac{t_3}{t_2}=\dfrac{t_4}{t_3}=.....$

$\implies\textbf{Common ratio}=\dfrac{480}{768}$

$=\dfrac{60}{96}$ $(\text{reduced by 8})$

$=\dfrac{5}{8}$ $(\text{reduced by 12})$

$\therefore\textbf{Common ratio is \bf\dfrac{5}{8} }$

Find more:

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Answer 2

Answer:

The correct equation is 5/8

Step-by-step explanation:

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