tayloremae
tayloremae tayloremae
  • 01-12-2018
  • Mathematics
contestada

Find the 10th term

3,15,75,375

Respuesta :

jimrgrant1 jimrgrant1
  • 01-12-2018

Answer:

5859375

Step-by-step explanation:

These are the terms of a geometric sequence with n th term

[tex]a_{n}[/tex] = [tex]a_{1}[/tex] [tex]r^{n-1}[/tex]

where r is the common ratio and [tex]a_{1}[/tex] the first term

here r = [tex]\frac{375}{75}[/tex] = [tex]\frac{75}{15}[/tex] = [tex]\frac{15}{3}[/tex] = 5 and [tex]a_{1}[/tex] = 3, hence

[tex]a_{10}[/tex] = 3 × [tex](5)^{9}[/tex] = 5859375


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