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29-01-2020
Mathematics

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Which of the following represents the general equation for the geometric sequence?

-1, -2, -4, ...

an = 1 · 2n - 1

an = -2n - 1

an = 2n - 1

an = 1 · 2n + 1

Respuesta :

30-01-2020

Answer:

aₙ = -2ⁿ⁻¹

Step-by-step explanation:

Your geometric series is

-1,-2,-4, …

The first term (a₁) is -1, and each successive term is twice the one before it (the common ratio, r)

The formula for the nth term of a geometric series is

aₙ = a₁rⁿ⁻¹

The general formula for your series is then

aₙ = -2ⁿ⁻¹

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