humphreyavery4 humphreyavery4
  • 26-02-2021
  • Mathematics
contestada

4, 6, 9, ...
Find the 8th term.

Respuesta :

irspow
irspow irspow
  • 26-02-2021

Answer:

Step-by-step explanation:

[tex]\text{This is a geometric sequence as dividing any term by the previous term is constant, called the common ratio. A geometric sequence has the form }a_n=ar^{(n-1)} \text{ where }a_n=n^{th}\ term,\ a=initial\ value,\ r=common\ ratio.\\ \\ r=6/4=9/6=1.5,\ a=4\\ \\ a_n=4(1.5^{(n-1)}\\ \\ a_8=4(1.5^7)\\ \\ a_n=68.34375[/tex]

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