3 years ago

Which is the equation for the nth term of the geometric sequence-2, 8, -32, ... ?

Mathematics

1 answer:

Cerrena [4.2K]3 years ago

4 0

Answer:

Step-by-step explanation:

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4) At a store, pears cost $0.74 per pound. How much will 3.5 pounds of pears cost?

erica [24]

Answer:

$2.59

Step-by-step explanation:

.74 per pound

pounds=3.5

.74x3.5=$2.59

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suter [353]

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Read 2 more answers

What is the common ratio for the sequence 28,14,7,3.5 ?

wolverine [178]

Answer:

Its 2

Step-by-step explanation:

7 0

3 years ago

baherus [9]

Answer: see proof below

Step-by-step explanation:

Given: cos 330 = $\frac{\sqrt3}{2}$

Use the Double-Angle Identity: cos 2A = 2 cos² A - 1

$\text{Scratchwork:}\quad \bigg(\dfrac{\sqrt3 + 2}{2\sqrt2}\bigg)^2 = \dfrac{2\sqrt3 + 4}{8}$

Proof LHS → RHS:

LHS cos 165

Double-Angle: cos (2 · 165) = 2 cos² 165 - 1

⇒ cos 330 = 2 cos² 165 - 1

⇒ 2 cos² 165 = cos 330 + 1

Given: $2 \cos^2 165 = \dfrac{\sqrt3}{2} + 1$

$\rightarrow 2 \cos^2 165 = \dfrac{\sqrt3}{2} + \dfrac{2}{2}$

Divide by 2: $\cos^2 165 = \dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \bigg(\dfrac{2}{2}\bigg)\dfrac{\sqrt3+2}{4}$

$\rightarrow \cos^2 165 = \dfrac{2\sqrt3+4}{8}$

Square root: $\sqrt{\cos^2 165} = \sqrt{\dfrac{4+2\sqrt3}{8}}$

Scratchwork: $\cos^2 165 = \bigg(\dfrac{\sqrt3+1}{2\sqrt2}\bigg)^2$

$\rightarrow \cos 165 = \pm \dfrac{\sqrt3+1}{2\sqrt2}$

Since cos 165 is in the 2nd Quadrant, the sign is NEGATIVE

$\rightarrow \cos 165 = - \dfrac{\sqrt3+1}{2\sqrt2}$

LHS = RHS $\checkmark$

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3 years ago

Will someone please help me with this? the question is provided in the picture

musickatia [10]

Y = X/3-1
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3 years ago