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The sum of the first 75 terms of the sequence is -5.068*10^34

Given the following geometric sequence

[tex]a_1 = \frac{-1}{3} \\a_i = a_{i-1}*(-3)[/tex]

The sum of the nth term of the GP is expressed as;

[tex]S_n = \frac{a(1-r^n)}{1-r}[/tex]

a = -1/3

n = 75

r = a₂/a₁

a₂ = -3a₁

a₂ = -3(-1/3)

a2 = 1

r = 1/(-1/3)

r = -3

Substitute the given values in the formula;

[tex]S_n = \frac{-1/3(1-3^{75})}{1-(-3)}\\S_{75} = \frac{-1/3(3^{75}-1)}{1+3} \\S_{75} = \frac{-1/3(6.082 \times 10^{35}-1)}{4}\\S_{75} = \frac{-1/3(6.082 \times 10^{35})}{4}\\S_{75} = -0.5068 \times 10^{35}\\S_{75} = -5.068 \times 10^{34}\\[/tex]

Hence the sum of the first 75 terms is -5.068*10^34

Learn more on geometric series here: https://brainly.com/question/20548958

Answer:

1. 132.    .2     143

Step-by-step explanation:

Answer:

Step-by-step explanation:

Stop cheating and then lying to yourselfpf and saying that you need help

Answer:

SSS

Step-by-step explanation:

because the triagles are pretty much the same the one on the left is half of the one on the right

I got similar SAS on mine

Answer:

1. m = 7

2. h = 1.5

3. b = -0.7

4. x = 20

5. a = 4.8

6. n = 30

7. y = 1.4

8. a = 28

9. b = -6

Step-by-step explanation:

Message me if you want me to explain each one.

Answer:

Sure Amaya  , the grouping is the parenthesis, right?

Step-by-step explanation:

so  just add up.. the things outside of the parenthesis

-  [tex]4^{2}[/tex] * 4

so exponents come first in the order of what to do... right?

[tex]4^{2}[/tex] =16    okay , got that part, the next part is

16 * 4 = 64   okay got that part,  now

- 64   is what is subtracted from the grouping   , got it?

Answer:

-8(7y-8)-3(7y-7)−8(7y−8)−3(7y−7)

Distribute to remove the parentheses.

Collect like terms

-154y+170

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

original 3:4

now 18:24

Multiply by 6

Answer: x+16y

Step-by-step explanation:

4(x+2y)-(3x-8y)​

4x+8y-3x-8y

x+16y

Answer:

The correct answer is 956.5

Step-by-step explanation:

If Its wrong report me, if its right mark me brianliest plz

Given:

Arc(AB) = 78 degrees

Measure of angle CMD = 106 degrees

To find:

The measure of arc CD.

Solution:

Secant intersection theorem: If two secant of a circle intersect each other inside the circle, then the intersection angle is the average of intercepted arcs.

Using secant intersection theorem, we get

[tex]m\angle CMD=\dfrac{1}{2}(Arc(AB)+Arc(CD))[/tex]

[tex]106^\circ=\dfrac{1}{2}(78^\circ+Arc(CD))[/tex]

Multiply both sides by 2.

[tex]212^\circ=78^\circ+Arc(CD)[/tex]

[tex]212^\circ-78^\circ=Arc(CD)[/tex]

[tex]134^\circ=Arc(CD)[/tex]

Therefore, the measure of arc CD is 134 degrees and the correct option is C.

Answer:

26 degrees.

Step-by-step explanation:

We are given

We are trying to find angle measure of j.

Since we are given a side opposite of our angle we are trying to find and a side adjacent to the angle we are trying to find we are going to use tan ratio.

[tex] \tan(x) = \frac{opp}{adj} [/tex]

[tex] \tan(x) = \frac{46}{93} [/tex]

since we are trying to find the angle measure apply inverse trig function

[tex] \tan {}^{ - 1} ( \frac{opp}{adj} ) [/tex]

Plug 46 for opp and 93 for adj.

[tex] \tan {}^{ - 1} ( \frac{46}{93} ) [/tex]

which is about 26 degrees.

Answer:

Its B, C, and D

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

Answer:

x=10

Step-by-step explanation:

3+17=20

20/2=10

x=10

Answer: 21.08

Step-by-step explanation:

Turn 85 into a percent then multiply by 24.80.

0.85*24.80= 21.08

Hope this helps :)

Answer:

The answer is B cause all the rest is lower and negatives make the other one wrong so the answer is B hope this helps :)

Answer:

-1.2<6.9 is the statement that's true.

Explanation: - 1.2 is smaller than 6.9

Answer:

A

Step-by-step explanation:

Answer:

The zeros are -3 and 5, because k(x)= -(x + 3)(x - 5).

Step-by-step explanation:

Answer:

8 i think

Step-by-step explanation:

Answer:

x = 27

Step-by-step explanation:

x = (137-2)/5 = 27

Answer:

the answer is A. that's my final ans

The number line which represents the solutions that is n > -3 is number line 1.

If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solution to that equation or inequality.

Any real number can be represented in two dimensions using a number line. Any number on the number line with a solid circle next to it refers to include that number followed by the rest of the values, and any number with a hollow circle refers to exclude that value from the list before the rest of the values.

The solutions represented by number line 1 are those where: n > -3.

Using special techniques, number lines are used to represent real numbers. It was Illustrated in number line 1.

Learn more about inequalities here:

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Answer:

9 boxes

Step-by-step explanation:

Answer:

x4+6+7s

Step-by-step explanation:

Answer:

Here are five things you can do to reduce your mortgage rate when you refinance or purchase a home: Add one point to your credit score. Most non-government mortgage programs are priced by credit score, in 20-point tiers. If your FICO is 680 points, for example, you pay significantly less than if it's 679.

Step-by-step explanation:

Answer:

a) )12,6)

b) (12,2)

c) (4,-7)

d) (9,-7)

Step-by-step explanation:

a) Dilation

When we dilate, we multiply the given scale factor by each of the coordinates

We have this as follows;

(20 * 3/5, 10 * 3/5) = (12, 6)

2. Here, we will add 5 to the x-axis value and subtract 6 from the y-axis value

We have this as;

(7+ 5, 8-6) = (12,2)

3. By reflecting across the x-axis

we have (x,y) changing to (x,-y)

so we have ;

(4,7) becomes (4,-7)

4. Rotation by 270 degrees (7,9)

If clockwise;

(x,y) becomes (y,-x)

so we have

(7,9) becoming (9,-7)

Answer:

135 points

Step-by-step explanation:

We can solve this easily, 30x4=120+15=135

So, after shopping 30 times you would have 120 points plus the 15 you got when making the account, in total 135 points.

Answer:

56

Step-by-step explanation:

A fraction consists of two numbers and a fraction bar:

14/25

The number above the bar is the numerator: 14

The number below the bar is the denominator: 25

Divide the numerator by the denominator to get fraction's value:

Val = 14 ÷ 25

Hoped it helped

Answer:

i dont under stand sorry i cant help sorry