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lions [1.4K]
3 years ago
9

find the common ratio of the following geometric sequence. 2.512, 11.304, 50.868, 228.906, 1,030.077, ...

Mathematics
1 answer:
zimovet [89]3 years ago
8 0
In mathematics, a geometric progression<span>, also known as a </span>geometric sequence<span>, is a </span>sequence<span> of numbers where each term after the first is found by multiplying the previous one by a common ratio. We determine the ratio as follows:

r = 11.304 / 2.512 = 4.5
r = </span>50.868 / <span>11.304 = 4.5
r = </span>228.906 / 50.868 = 4.5

Therefore, the common ration is 4.5.
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A sensor output was acquired for 32 seconds at a rate of 200 Hz and spectral analysis was performed using FFT. If the data set w
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Complete Question

A sensor output was acquired for 32 seconds at a rate of 200 Hz and spectral analysis was performed using FFT. If the data set was split into 5 segments (each 6.4 seconds long), what is the resulting:

a)F minimum

b) F maximum

c) Frequency resolution

Answer:

a) Fmax=100Hz

b) Fmin=0Hz

c) F_r=0.0313

Step-by-step explanation:

From the question we are told that:

Time t=32sec

FrequencyF=200Hz

Segments \mu=5

Generally the equation for Frequency Range is mathematically given by

Fmax=\frac{F}{2}

Fmax=100Hz

Therefore

a) Fmax=100Hz

b) Fmin=0Hz

c)

Generally the equation for Frequency Resolution is mathematically given by

F_r=\frac{F}{N}

Where

N=The Total dat points

N=Sampling Frequency *Time

N=200*32

N=6400

Therefore

F_r=\frac{200}{6400}

F_r=0.0313

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Answer:

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Step-by-step explanation:

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