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LekaFEV [45]
3 years ago
11

Can someone help me out here please.

Mathematics
1 answer:
denis23 [38]3 years ago
7 0

Answer:

im sorry but i have no clue what this is:(

Step-by-step explanation:

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What is the sum of the geometric series
lbvjy [14]
If S denotes the sum of the first n terms of a geometric series with first term a and common ratio r, then

S=a+ar+ar^2+\cdots+ar^{n-3}+ar^{n-2}+ar^{n-1}
rS=ar+ar^2+ar^3+\cdots+ar^{n-2}+ar^{n-1}+ar^n
\implies S-rS=a+(ar-ar)+(ar^2-ar^2)+\cdots+(ar^{n-1}-ar^{n-1})-ar^n
\implies (1-r)S=a(1-r^n)
\implies S=a=\dfrac{1-r^n}{1-r}

Using summation notation, you have

S=\displaystyle\sum_{x=1}^nar^{x-1}=\sum_{x=0}^{n-1}ar^x=a\dfrac{1-r^n}{1-r}

In this case, you have a=2, r=\dfrac12, and n=16. So the value of the sum is

\displaystyle\sum_{x=0}^{15}2\left(\frac14\right)^x=2\dfrac{1-\left(\frac14\right)^{16}}{1-\frac14}\approx2.67

Rounded to the nearest whole number, the answer would be 3.
4 0
4 years ago
Read 2 more answers
What is the sale of change of the function represented by the table
solniwko [45]

Answer:

1

Step-by-step explanation:

5 0
3 years ago
The triangles are congruent.<br><br><br><br> Which statement is true?
Archy [21]
Yes it's true because:
TSR and RQP is alternating tringle
TSR & PQR is perpendicular
3 0
4 years ago
Find the value of each variable. Assume it is a 45 45 90 triangle. Round to the nearest tenth.
Arte-miy333 [17]

Answer:

x = 6

y = 45 degrees

Step-by-step explanation:

Here, we want to get the measure of x and y

For a 45-45-90 triangle, the measure of each of the internal angle asides the right angle is 45 degrees

This mean y is 45

To get x, we know we have an isosceles triangle

So the length of the third ungiven leg is x too

Mathematically, the square of the hypotenuse (side facing the right angle) is equal the sum of the squares of the two other sides

(6 √2)^2 = x^2 + x^2

72 = 2x^2

x^2 = 72/2

x^2 = 36

x = √36

x = 6

4 0
3 years ago
A Web site goes viral. The number of users triples each day. What is the constant percentage increase each day?
aksik [14]

We know that the number of users triple each day

Let number of users on day 1 be x

⇒ Users on day 2 = 3 * (x) = 3x

and Users on day 3 = 3 * (3x) = 9x

And so on...

% Increase in users from day 1 to day 2 = \frac{\text{Users on Day 2 - Users on Day 1}}{\text{Users on Day 1}} * 100

⇒ % Increase in users from day 1 to day 2 = \frac{3x-x}{x} * 100

⇒ % Increase in users from day 1 to day 2 = \frac{2x}{x} * 100

⇒ % Increase in users from day 1 to day 2 = 200%

Similarly,

% Increase in users from day 2 to day 3 = \frac{\text{Users on Day 3 - Users on Day 2}}{\text{Users on Day 2}} * 100

⇒ % Increase in users from day 2 to day 3 = \frac{9x-3x}{3x} * 100

⇒ % Increase in users from day 2 to day 3 = \frac{6x}{3x} * 100

⇒ % Increase in users from day 2 to day 3 = 200%

Hence, we can see that the percentage increase each day is 200%

3 0
4 years ago
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