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Elena L [17]
3 years ago
8

Is the sequence 18,9,9/2,9/4,9/8...a geometric sequence

Mathematics
1 answer:
GuDViN [60]3 years ago
4 0
Remember in a geometric sequence you multiply if it is increasing if it is decreasing it is a number less than 1
Ina arthritic sequence you add if it is increasing if it is decreasing you add by a negative number
This sequence is geometric it is being multiplied by 1/2
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A laser travels from glass to water at an angle of 35° with the normal, Θ1. If water has an index of refraction of 1.33 and glas
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When light moves from one medium to another, it is refracted. If it moves from a medium with refractive index n1 to one with refractive index n2, with an incidence angle to the surface normal of θ1, the refraction angle θ2 can be calculated from Snell's law.

The Snell's law states that the ratio of the sines of the angles of incidence and refraction of a wave (in this case beam/light) are constant when it passes between two given media.

n_1\sin\theta_1=n_2\sin\theta_2

Given that a <span>laser travels from glass to water at an angle of 35° with the normal, </span>\theta_1<span>. If water has an index of refraction of 1.33 and glass has an index of refraction of 1.52, then we have:

</span>1.52\sin35^o=1.33\sin\theta_2 \\  \\ \Rightarrow\sin\theta_2= \frac{1.52\sin35^o}{1.33} =0.6555\therefore\theta_2=\sin^{-1}0.6555\approx41^o<span>
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