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Vilka [71]
3 years ago
5

Find the sum of the first 8 terms of the following sequence. Round to the nearest hundredth if necessary.

Mathematics
1 answer:
sladkih [1.3K]3 years ago
5 0

Answer:

Answer is -759/5

Step-by-step explanation:

To find the sum of a finite geometric series, use the formula,  

Sn= a1-a1r^n/ 1-r

where n is the number of terms, a1 is the first term and r is the common ratio .  

common ratio = a2/a1

S8=3-3(-2/3)8 / 1-(-2/3)

S8 = 3-(-2)8/ 1+ 2/3

S8= 3-256/ 3+2/3

S8= -253/5/3

S8= -253*3/5

S8= -759/5

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pickupchik [31]

x = 12 , y = 18    (12, 18) is the solution, intersection of the two lines.
4 0
2 years ago
A vacuum cleaner costs £85
Vitek1552 [10]

Answer: £76.50

Step-by-step explanation:

You find 10% of 85 = 8.5

then you do £85-£8.50 = 76.50

7 0
3 years ago
Can someone pls solve this​
denpristay [2]

Answer:

in triangle PQR, <P - <Q = 20 degrees, <Q - <R = 50 degrees, find <P, <Q, <R

Q = 30, R = 80, P = 50

Step-by-step explanation:

in triangle PQR, <P - <Q = 20 degrees, <Q - <R = 50 degrees, find <P, <Q, <R

R  =  Q +50, 80=30+50

P  =  Q + 20, 50=30+20

Q = 30, R = 80, P = 50

3 0
2 years ago
Given h of x equals negative 2 times the square root of x minus 3 end root, which of the following statements describes h(x)?
Yuliya22 [10]

Using translation concepts, it is found that the correct option regarding the function is:

The function h(x) is decreasing on the interval (3, ∞).

<h3>What is a translation?</h3>

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The parent function is given by:

f(x) = \sqrt{x}

Which increases on (0, ∞).

The translated function is given by:

g(x) = -2\sqrt{x - 3}

With the translation, the domain is now (-3, ∞), and the function is decreasing, hence the correct option is given by:

The function h(x) is decreasing on the interval (3, ∞).

More can be learned about translation concepts at brainly.com/question/4521517

#SPJ1

8 0
2 years ago
<img src="https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20-%2064" id="TexFormula1" title=" {x}^{2} - 64" alt=" {x}^{2} - 64"
PilotLPTM [1.2K]

(x-8) (x+8) is the answer

8 0
3 years ago
Read 2 more answers
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