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3 years ago

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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Select the scenario that best matches the equation below:<br><br> 2x + 5 = 25

son4ous [18]

Answer:

Jamie has 5 cards. his friend Bill gives him twice the number of cards he has. After this Jamie has 25 card total. I hope that this helps!!

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1 year ago

Mangoes cost $4 each and nectarines cost $2 each. Dominic buys m mangoes and n nectarines for $32.

xenn [34]

Answer: 6m+4n=32

Step-by-step explanation:

m=4

n=2

From this, we can deduce that m+n=32.

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So, 6m+4n=32. Hope this was what you were looking for!

5 0

2 years ago

50 PTS ANSWER ALL <3333333

11Alexandr11 [23.1K]

QUESTION 33

The length of the legs of the right triangle are given as,

6 centimeters and 8 centimeters.

The length of the hypotenuse can be found using the Pythagoras Theorem.

${h}^{2} = {6}^{2} + {8}^{2}$

${h}^{2} = 36+ 64$

${h}^{2} = 100$

$h = \sqrt{100}$

$h = 10cm$

Answer: C

QUESTION 34

The triangle has a hypotenuse of length, 55 inches and a leg of 33 inches.

The length of the other leg can be found using the Pythagoras Theorem,

${l}^{2} + {33}^{2} = {55}^{2}$

${l}^{2} = {55}^{2} - {33}^{2}$

${l}^{2} = 1936$

$l = \sqrt{1936}$

$l = 44cm$

Answer:B

QUESTION 35.

We want to find the distance between,

(2,-1) and (-1,3).

Recall the distance formula,

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Substitute the values to get,

$d=\sqrt{( - 1-2)^2+(3- - 1)^2}$

$d=\sqrt{( - 3)^2+(4)^2}$

$d=\sqrt{9+16}$

$d=\sqrt{25}$

$d = 5$

Answer: 5 units.

QUESTION 36

We want to find the distance between,

(2,2) and (-3,-3).

We use the distance formula again,

$d=\sqrt{( - 3-2)^2+( - 3- 2)^2}$

$d=\sqrt{( - 5)^2+( - 5)^2}$

$d=\sqrt{25+25}$

$d=\sqrt{50}$

$d=5\sqrt{2}$

Answer: D

8 0

2 years ago

Read 2 more answers

Tommy has 3 dogs. Last month, he bought 5 pounds of dog food for 7.95, 8 pounds of dog food for 12.72, and 15 pounds of dog food

bija089 [108]

Answer:

The constant cost of dog food is $1.59 per pound.

Step-by-step explanation:

Divide each pound by the cost and you get $1.59

8 0

2 years ago

If point A is located at (-7, -3),

Taya2010 [7]

Answer:

-15

Step-by-step explanation:

because you have to add 12 to -3

4 0

3 years ago