All categories

4 years ago

Write a sequence that has six arithmetic means between 12.4 and -24.7

Mathematics

1 answer:

Gnesinka [82]4 years ago

4 0

Answer:

$12.4,7.1,1.8,-3.5,-8.8,-14.1,-19.4,-24.7$

Step-by-step explanation:

If the sequence has six arithmetic means between 12.4 and -24.7.

Let the sequence be:

12.4,a,b,c,d,e,f, -24.7

It means we have:

First term, a=12.4

Eighth Term =-24.7

The nth term of an arithmetic sequence is obtained using the formula below.

$U_n=a+(n-1)d$

Therefore:

$U_8=-24.7=12.4+(8-1)d\\-24.7-12.4=7d\\7d=-37.1\\$Divide both sides by 7\\d=-5.3$

Therefore:

$U_n=12.4-5.3(n-1)\\U_1=12.4-5.3(1-1)=12.4\\U_2=12.4-5.3(2-1)=7.1\\U_3=12.4-5.3(3-1)=1.8\\U_4=12.4-5.3(4-1)=-3.5\\U_5=12.4-5.3(5-1)=-8.8\\U_6=12.4-5.3(6-1)=-14.1\\U_7=12.4-5.3(7-1)=-19.4\\U_8=12.4-5.3(8-1)=-24.7$

The sequence is:

$12.4,7.1,1.8,-3.5,-8.8,-14.1,-19.4,-24.7$

You might be interested in

A student artist randomly selected two media from among: charcoal sketches, pencil drawings, and oil paintings, and then submitt

PolarNik [594]

Complete question is;

A student artist randomly selected two media from among: charcoal sketches, pencil drawings, and oil paintings, and then submitted all of her works in that media for a gallery showing. Identify the kind of sample that is described.

Answer:

Cluster sample

Step-by-step explanation:

Looking at the question, we can see that the media has already been grouped into 3 parts namely charcoal sketches, pencil drawings, and oil paintings. It has already been grouped into multiple groups for easy selection or identification.

Now this type of grouping is synonymous with cluster sampling because cluster sampling is a probability sampling technique in which the researchers divide the population into multiple groups known as clusters for research and this question clearly shows that the media has been grouped.

7 0

3 years ago

Help me pleaseeeeeeeeeee

velikii [3]

Answer:

I don't know iss shake eie

6 0

3 years ago

There are 1800 gym members in total, 3/4 are aged 25-59, 1/5 are over 60 and the remainder are under 25, how many members are un

siniylev [52]

If $x$ is the number of members under 25, then we have

$1800=\dfrac34\cdot1800+\dfrac15\cdot1800+x\implies x=90$

8 0

3 years ago

Solve the problem: -4/9 -8/9

Trava [24]

Answer:

$\frac{-4}{3}$

Step-by-step explanation:

When subtracting fractions with the same denominator (bottom number[s]) you can treat the numerators (top number[s]) like subtraction with whole numbers.

$-4-8$ is equal to -12. Therefore, $\frac{-4}{9} - \frac{8}{9}$ will equal $\frac{-12}{9}$ . But we're not there yet - this fraction can be simplified. We need to find the GCF, or greatest common factor, of -12 and 9. This would be another number that can be divided evenly into these two numbers. The first possible GCF that comes to mind is 3. Let's test that out:

$-12/3 = -4$

$9/3 = 3$

It works! Now we can use this information to simplify the fraction. We replace -12 with -4 and replace 9 with 3. This gives us our final answer, $\frac{-4}{3}$ .

7 0

4 years ago

At a coffee shop, the first 100 customers'

VashaNatasha [74]

Answer:

25%

Step-by-step explanation:

Add all the cold orders

(8+12+5)

Then, you know there are 100 orders

25/100=25%

7 0

3 years ago