WaldenC747918 WaldenC747918
  • 25-10-2022
  • Mathematics
contestada

what is the common ratio for the geometric sequence 35/2, 7, 14 / 5, 28 / 25, enter your answer as a decimal

Respuesta :

AlasdairD34063 AlasdairD34063
  • 25-10-2022

Given:

The geometric sequence is

[tex]\begin{gathered} a_1,a_2,a_3,a_4 \\ \frac{35}{2},7,\frac{14}{5},\frac{28}{25} \end{gathered}[/tex]

To find the common ratio,

[tex]\begin{gathered} Ratio=\frac{a_2}{a_1} \\ =\frac{7}{\frac{35}{2}} \\ =\frac{7\cdot2}{35} \\ =\frac{14}{35} \end{gathered}[/tex]

Hence the common ratio, r is 14/35.

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