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krek1111 [17]
3 years ago
13

Which choice is the common difference between the terms of this arithmetic sequence?4x + 7y, 8x + 2y, 12x + -3y, 16x - 8y, 20x -

13y, ...
A.4x - 5y
B.-5x - 4y
C.4x + 5y
D.5x + 4y
E.5x - 4y
Mathematics
1 answer:
matrenka [14]3 years ago
5 0
A1=4x+7y
a2=8x+2y
a3=12x-3y
a4=16x-8y
a5=20x-13y

a2-a1=(8x+2y)-(4x+7y)=8x+2y-4x-7y→a2-a1=4x-5y
a3-a2=(12x-3y)-(8x+2y)=12x-3y-8x-2y→a3-a2=4x-5y
a4-a3=(16x-8y)-(12x-3y)=16x-8y-12x+3y→a4-a3=4x-5y
a5-a4=(20x-13y)-(16x-8y)=20x-13y-16x+8y→a5-a4=4x-5y

<span>The common difference between the terms of the arithmetic sequence is 4x-5y

Answer: Option A. 4x-5y</span>
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A poll was taken this year asking college students if they considered themselves overweight. A similar poll was taken 5 years ag
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Answer:

At 5% significance level, it is statistically evident that    there is nodifference in the proportion of college students who consider themselves overweight between the two poll                                  

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Given that a poll was taken this year asking college students if they considered themselves overweight. A similar poll was taken 5 years ago.

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H_0: p_x =p_y\\H_a: p_x \neq p_y

(Two tailed test at 5% level of significance)

                Group I            Group II              combined p

n                  270                 300                         570

favor            120                  140                          260

p                   0.4444            0.4667                   0.4561

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p difference = -0.0223    

Z statistic = p diff/std error =       -1.066

p value =0.2864

Since p value >0.05, we accept null hypothesis.

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The common ratio in a geometric series is 4 and the first term is 3.
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Answer:

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Step-by-step explanation:

We have,

The common ratio in a geometric series, r = 4

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It is required to find the sum of the first 8 terms in the series. The sum of first n terms of a GP is given by :

S_n=\dfrac{a(r^n-1)}{r-1}, r>1

Here, n = 8

S_8=\dfrac{3\times ((4)^8-1)}{4-1}\\\\S_8=65535

So, the sum of the first 8 terms in the series is 65535.

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3 years ago
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