Write the explicit formula for the geometric sequence.

2, 8, 32, 128, ...

A)
an = 2n-1

B)
an = 2 · 6n-1

C)
an = 2 · 2n-1

D)
an = 2 · 4n-1

Uₙ = 2(4)ⁿ⁻¹

Step-by-step explanation:

General Formula: Uₙ = a(r)ⁿ⁻¹

a = first term = 2

r = common ratio

r = (Uₙ₊₁)/Uₙ:

r = U₂/U₁

r = 8/2 = 4

∴ formula is: Uₙ = 2(4)ⁿ⁻¹

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the equation of the parallel line would be y = 2x + 9

step-by-step explanation:

to start we need to find the slope of the original line. we can do that by looking at the coefficient of x, which is 2

since the slope of the original line is 2 and parallel lines have the same slope, we know the new line will also have 2 slope. now we can use that along with the point given in point-slope form to get the find equation.

y - y1 = m(x - x1)

y - 5 = 2(x + 2)

y - 5 = 2x + 4

y = 2x + 9