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Dimas [21]
2 years ago
13

Write the sum using summation notation, assuming the suggested pattern continues. 2 - 8 + 32 - 128 + ...

Mathematics
1 answer:
erma4kov [3.2K]2 years ago
4 0
This is a geometric series with first term 2 and common ratio -4. The general term of such a series (an) in terms of the first term (a1) and common rato (r) is written as
  an = a1*r^(n-1)

The sum is the sum of such terms.
sum=\sum\limits_{n=1}^{\infty}{2(-4)^{(n-1)}}
You might be interested in
Add.
Leya [2.2K]

The answer is 6.4

It is positive because the 11.4 is larger than the negatvie 5.

I hope this helps!

8 0
2 years ago
Read 2 more answers
A researcher says to the respondents in a poll, “Eating too many sugary foods leads to cavities. Would you rather have soda or w
mafiozo [28]

The correct answer is B. No, the wording of the question makes respondents more likely to say water, even if they may actually prefer soda at a meal.

Explanation:

One important factor when designing questions in research is to avoid any language that might influence the answers of respondents. This recommendation was not followed in the question "Eating too many sugary foods leads to cavities. Would you rather have soda or water served with your meal?" because mentioning sugary foods, which includes soda, leads to cavities will make respondents consider soda is negative and they are more likely to choose water. This implies the wording in the question influences respondents and introduces bias, which is inappropriate. Thus, the correct answer is B.

3 0
2 years ago
Use the method of undetermined coefficients to solve the given nonhomogeneous system. dx dt = 2x + 3y − 5 dy dt = −x − 2y + 4 x(
sukhopar [10]
Try this solution (see the attachment, it is consists of 3 steps).

4 0
2 years ago
Read 2 more answers
The sun subtend an angle at 35degree from the centre of the earth whose distant from the centre of the earth is 382,100km. Find
Sonbull [250]

Study the figure attached below:

Answer:

240951.33km      

Step-by-step explanation:

For this type of question first we need to draw the figure as shown in the attached file (Figure.1).

Looking at the figure, we can see that triangle ABC is formed by bisecting the angle 35 degree (i.e. if the angle is bisected, it will divide into two equal parts, so 35 degree will divide into two equal parts of 17.5 degree).

As the triangle ABC is a right triangle, so we can use the trigonometric ratios to find the diameter of the sun.

tan(\theta )= \frac{perpendicular}{Base}

In the triangle ABC, perpendicular (opposite side to \theta ) is BC and base (Adjacent side) is AC

tan(\theta)=\frac{BC}{AC}

\theta=17.5 degree

AC=382100km

Putting the values, we get

tan(17.5)=\frac{BC}{382100}\\ \\BC=tan(17.5)*382100km\\\\BC=0.315*382100km\\\\BC=120475.66km

Diameter=d=2*Radius

As BC is the distance from center of the sun, it is the radius, so we can find the diameter if we multiply it by 2.

Diameter of the sun=d=2*120475.66km

The\ diameter\ of\ the\ sun\ = 240951.33km

7 0
2 years ago
Read 2 more answers
The Taieri Plain in New Zealand is 6 feet below sea level (or –6 feet). If you are standing 3 feet above sea level, is your elev
Anna11 [10]
You would be 3ft above the sea level, if you are -6ft under the sea level and if you are standing 3ft “above” you would have to clime back up 9ft to get back to the positive’s which is “positive 3” so yes, your elevation will be opposite of the “plain” since you went to a -6 to a positive 3, with different numbers.
8 0
1 year ago
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