jmholmes96 jmholmes96
  • 26-01-2021
  • Mathematics
contestada

find the 9th term of 3 -15 75

Respuesta :

jimrgrant1 jimrgrant1
  • 26-01-2021

Answer:

a₉ = 1171875

Step-by-step explanation:

There is a common ratio r between consecutive terms

r = - 15 ÷ 3 = 75 ÷ = 15 = - 5

This indicates the sequence is geometric with n th term

[tex]a_{n}[/tex] = a₁ [tex]r^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 3 and r = - 5, then

a₉ = 3 × [tex](-5)^{8}[/tex]

   = 3 × 390625

   = 1171875

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