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Tema [17]
2 years ago
10

Find a24 in the sequence, -8, 12, 32, 52, ...

Mathematics
2 answers:
shutvik [7]2 years ago
6 0

Answer:

452

Step-by-step explanation:

nth term formula: A<em>n=</em>a + (n - 1)d

An=nth term

a= 1st term

n=the term# u need to find

d= common difference

common difference in our case is <em>32-12=20</em>

<em>20 is the common </em>

substitute this value into the nth term formula:

An=-8+(24-1)*20

An=-8+(24-1)*20

An=452

Hope this helps!

JulsSmile [24]2 years ago
4 0

You can see that two consecutive terms always differ by 20.

In other words, you generate the next term in the sequence by adding 20 to the previous one.

This implies the following structure:

\begin{array}{l}a_1=8\\a_2=a_1+20\\a_3=a_2+20=(a_1+20)+20 = a_1+2\cdot 20\\\ldots\\a_n = a_1+(n-1)\cdot 20\end{array}

In particular, this implies

a_{24} = a_1+23\cdot 20 = -8+460 = 452

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I think it's the bar graph.

Hope this helps !

Photon
4 0
3 years ago
M is between points C and Q. CM=17 and CQ=21. What is MQ?
katrin2010 [14]
Sometimes it helps to draw it out...

     (17)
C_______M_________Q
|___________________|
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therefore, CM + MQ = CQ
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8 0
3 years ago
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A researcher is testing a hypothesis of a single mean. The critical z value for a = .05 and a two‑tailed test is +1.96. The obse
grandymaker [24]

Answer:

The decision made by the researcher based on this information is to reject the null hypothesis.

Step-by-step explanation:

Two-tailed hypothesis test:

Critical value: z_c

Test statistic: z

If |z| < |z_c|, we do not reject the null hypothesis.

If |z| > |z_c|, we reject the null hypothesis.

In this question:

z_c = 1.96, z = -2.05, |z| = 2.05

Since |z| > |z_c|, we reject the null hypothesis.

The decision made by the researcher based on this information is to reject the null hypothesis.

4 0
3 years ago
What is the value of the correlation coefficient r of the data set?
enyata [817]

The correct option will be:  C) 0.84

<u><em>Explanation</em></u>

Formula for Correlation coefficient :

r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}

First, for each point(x, y), we need to calculate x², y² and xy .

Then, we will find sum all x, y, x², y² and xy, which gives us Σx, Σy, Σx², ∑y² and Σxy

<em>(Please refer to the attached image for the table )</em>

Here we got, ∑x = 44 , ∑y = 183 , ∑x² = 362 , ∑y² = 6575 and ∑xy = 1480

'n' is the total number of data set, which is 7 here.

So, plugging those values into the above formula..........

r= \frac{n(\Sigma xy)-(\Sigma x)(\Sigma y)}{\sqrt{[n\Sigma x^2-(\Sigma x)^2][n\Sigma y^2-(\Sigma y)^2]}}\\ \\ r=\frac{7(1480)-(44)(183)}{\sqrt{[7(362)-(44)^2][7(6575)-(183)^2]}}\\ \\ r=\frac{10360-8052}{\sqrt{(598)(12536)}}\\ \\ r=\frac{2308}{\sqrt{7496528}}\\ \\ r=0.84

So, the value of the correlation coefficient is 0.84

4 0
3 years ago
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Sales rise from £400 a week to £504 a week. Calculate a percentage increase
soldier1979 [14.2K]

Step-by-step explanation:

previous =£400

present=£504

percentage=(£504-£400)/£504*100

=104/£504*100

=20.63%

3 0
3 years ago
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