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Black_prince [1.1K]
2 years ago
15

Find the 8th term of the geometric sequence 5, -15, 45

Mathematics
1 answer:
FrozenT [24]2 years ago
6 0

Answer:

a₈ = - 10935

Step-by-step explanation:

the nth term of a geometric sequence is

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio

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

a₈ = 5 × (-3)^{7} = 5 × - 2187 = - 10935

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