Find a and y
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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:

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:

Isosceles Right Triangle

Answer:

224

Step-by-step explanation:

3 minus 4 is -1, Kate is in debt and owes one apple.

If this is incorrect, please, don't refrain to tell me. Thank you.

Answer:

-20

Step-by-step explanation:

-27-16=

-43-23=

-20 -20 is your answer

Answer: C

Step-by-step explanation:

Answer:

you ended up having = 1/n^3[1^2+2^2+3^2...(n-1)^2]

hope this helps :')

Answer:

Let's verify is the corresponding sides have same ratio:

Ratios:

The ratios are same, so the triangles are similar

The scale factor (ΔABC to ΔXYZ) is 2/7 (or ΔXYZ to ΔABC is 7/2 = 3.5)

Answer:

The maximum amount of hours he can rent it for is 6 Hour's

Step-by-step explanation:

Ik this couse 8x6=48 48-6= 42

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:

74 Degrees

Step-by-step explanation:

Mistakes were made when i said 37

Answer:

[tex]\Huge\boxed{74}[/tex]

Step-by-step explanation:

Hello There!

First things first, we need to find the value of x

If you didn't know the measures of supplementary angles add up to equal 180 so we can use this equation to solve for x

180 = 2x + 3x - 5

step 1 combine like terms

2x + 3x = 5x

now we have

180 = 5x - 5 step 2 add 5 to each side

-5 + 5 cancels out

180 + 5 = 185

now we have 185 = 5x

step 3 divide each side by 5

5x/5=x

185/5=37

we're left with x = 37

Now we want to plug in 37 into x for angle A

angle a = 2(37)

2*37=74

so we can conclude that angle A = 74

Answer:

The answer is D

Step-by-step explanation:

I am very sure that the correct answer.:)

Answer: each 0.5 hour or 30 minutes they travel 1 mile

Step-by-step explanation:

so just keep adding 1 mile each 0.5 hour

Answer:

Step-by-step explanation:

3 divided by 1.5 = 2

To fill in the answer for the distance traveled, you multiply the time by two.

Example: 0.5 x 2 = 1

                1 x 2 = 2

so on and so forth

Answer:

x = 27

Step-by-step explanation:

x = (137-2)/5 = 27

Answer:

SSS

Step-by-step explanation:

Answer:

A)Rhombus

Lollllllllll

Answer:

A

Step-by-step explanation:

Squares have 90 degree angles, not 60.

Answer/Step-by-step explanation:

Map key : 1 inch = 250 miles

The distance on map shown : 7.4 inches

So first we would set the equation up:

Map key*the distance show on the map = ???

250*7.4 = 1850

Answer: x+16y

Step-by-step explanation:

4(x+2y)-(3x-8y)​

4x+8y-3x-8y

x+16y

Answer:

Answer = -13 or 12

Step-by-step explanation:

let the two numbers be y and y+1

y(y+1)=156

y2 + y -156=0

y2 -12y+13y-156

y(y-12) +13(y-12)

(y+13) (y-12)

y+13=0

y= -13

y-12=0

y=12

Answer:

1. 132.    .2     143

Step-by-step explanation:

Answer:

el 9

Step-by-step explanation:

Porque 9+9=18

Entonces si los sumamos más 4:

18+4=22

el número es 9

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: 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 55 degrees.

Step-by-step explanation:

As shown by the red box on the angle, the angle shown is a right angle and is 90 degrees. Because we know the total angle measure, we can subtract the 31 degree angle from the 90 degree angle, which leaves us with 59 degrees for the second angle. This second angle equals (x+4). We then solve for x by setting up the equation 59= x+4. Subtract 4 from both sides and you are left with 55 degrees for x.

Answer:

The answer is 55 degrees.

Step-by-step explanation:

As shown by the red box on the angle, the angle shown is a right angle and is 90 degrees. Because we know the total angle measure, we can subtract the 31 degree angle from the 90 degree angle, which leaves us with 59 degrees for the second angle. This second angle equals (x+4). We then solve for x by setting up the equation 59= x+4. Subtract 4 from both sides and you are left with 55 degrees for x.

Answer: x=9,-1

Step-by-step explanation:

First, we are gonna start out with finding two numbers that multiply to equal -9 and add up to equal -8

Those numbers would be -9 & 1

-9+1=-8

-9x1=-9

Now we have

(x-9)(x+1)

x-9=0   x+1=0

 +9 +9   -1  -1

x=9      x=-1

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: