What is the term of a 7-term geometric series if the first term is -11 the last term is -45,056 and the common ratio is -4

Answers

Answer 1

Answer: I assume you mean to ask how to find the sum of the seven terms?

You have

$a_2=ra_1$
$a_3=ra_2=r^2a_1$
$a_4=ra_3=r^3a_1$
...
$a_7=ra_6=r^6a_1$

So the sum is

$a_1+ra_1+r^2a_1+\cdots+r^6a_1=a_1(1+r+r^2+\cdots+r^6)=a_1*(1-r^7)/(1-r)$

You know that $a_1=-11$ and $r=-4$ , so the sum is equal to

$-4*(1-(-4)^7)/(1-(-4))=-13108$

Related Questions

A credit card issuer charges an APR of 15.77%, and its billing cycle is 30 days long. What is it periodic interest rate?
What is the solution to the system of equations? y=2/3x+3 x=-2
Which statement is true about the following system of equations3x-1/2y=1x+2y=7A)y=xB)y<xC)it cannot be determinedD)y>x
Which expressions are equivalent to the expression −6x + 8? Select all that apply. 1. −2(3x + 4) 2. 2(−3x + 4) 3. 5(x + 1) − 11x + 3 4. x + 2 − 7x + 6 5. 8 − 6x
What percent increase is it to go from $1.25 to $1.50?

570 mL = ? oz,show work

Answers

Conversion from milliliters to ounces can be done using the following relation: 1 mL = 0.033814 ounce.

Given 570mL, we multiply it to the amount of ounces as shown in the relation. This is done below:

570 mL * (0.033814 oz / 1 mL) = 19.274 oz

Determine the solution to the system of equations by using substitution. Y=4x+10
Y=-5x-10

Answers

Steps:
1. Substitute the y in 4x + 10 with -5x-10
-5x-10= 4x + 10
2. Add 5x on both sides
-10= 9x + 10
3. Subtract 10 on both sides
-20= 9x
4. Divide by 9 on both sides
5. Your answer is
X= -20/9

$y=4x+10\ny=-5x-10\n\n4x+10=-5x-10\n9x=-20\nx=-(20)/(9)\n\ny=4\cdot(-(20)/(9))+10\ny=-(80)/(9)+(90)/(9)\ny=(10)/(9)\n$

What are the common factors of 60 36 and 24?

Answers

1, 2, 3, 4, 6, 12 :)

∆STV ~ ∆PQR. Find m∠P.129

9

86

6

Answers

Answer: $86^(\circ)$

Step-by-step explanation:

Given : $\triangle{STV}\sim\triangle{PQR}$

We know that the corresponding angles of two similar triangles are congruent.

i.e. $\angle{S}\cong\angle{P}$ (1)

$\angle{T}\cong\angle{Q}$

$\angle{V}\cong\angle{R}$

From the given picture , we have $\angle{S}=86^(\circ)$

Then from (1), $\angle{P}=86^(\circ)$

Hence, $\angle{P}=86^(\circ)$

m < P = m < S becuase the triangles are similar.

m < P = 86 degrees

The ________ sum of squares measures the variability of the sample treatment means around theoverall mean.
a. treatment
b. error
c. interaction
d. total

Answers

The TREATMENT sum of squares measures the variability of the sample treatment means around the overall mean.

The sum of squares is used to measure the variation about the mean, In ANOVA we have:

• Sum of square Error : measures the variation between each observation in a group and the mean of that group.

• Sum of square treatment : measures the variation between the mean of each group and the overall mean.

• Total Sum of Square : measures the variation between each observation and the overall sample mean.

Hence, Treatment sum of squares measures variation between sample treatment and overall sample mean.

Learn more : brainly.com/question/23638404

Answer:

treatment

Step-by-step explanation:

hope this helps, I did OSM 202 MC , as well.

Solve the problem.If a lawn sprinkler sprays 15 feet in every direction, what is the area of the yard that gets watered?

Answers

The area of yard gets watered is 707.142 ft²

What is area?

The portion between any closed figure, and the extent of region of any plane is area.

Given that sprinkler sprays 15 feet in every direction

so it will form a circle with radius of 15ft

and area of circle is πr²

where r is radius of circle

value of π is 22/7

area = π x (15)²

area = 707.142 ft²

Hence area of sprinkled region is 707.142 ft²

Learn more about Area

brainly.com/question/27683633

#SPJ5

Hello,

A=πR²=3.141592...*15²=706,8583470...( ft²)
===================================

Other Questions

An equilateral triangle has an altitude length of 27 feet. Determined the length of a side of the triangle

Fill in the blank to make the expression a perfect square.v^2 - 18v + ?

URGENT HELP PLEASE WITH THESES FOUR QUESTIONS THE FIRST WILL BE REWARDED BRAINLIEST AND 5 stars

Can someone help me answer this pls.