valerie818hernandez valerie818hernandez
  • 21-07-2022
  • Mathematics
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Find the 8th term of the geometric sequence 5, -15, 45

Find the 8th term of the geometric sequence 5 15 45 class=

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jimrgrant1 jimrgrant1
  • 21-07-2022

Answer:

a₈ = - 10935

Step-by-step explanation:

the nth term of a geometric sequence is

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

where a₁ is the first term and r the common ratio

here a₁ = 5 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-15}{5}[/tex] = - 3 , then

a₈ = 5 × [tex](-3)^{7}[/tex] = 5 × - 2187 = - 10935

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