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Lady_Fox [76]
2 years ago
15

The sum of the first 8 terms of a geometric sequence with 4 as the first term and a common ratio of 3 is ​

Mathematics
2 answers:
ki77a [65]2 years ago
7 0

9514 1404 393

Answer:

  13120

Step-by-step explanation:

The sum of terms of a geometric series is ...

  Sn = a1·(r^n -1)/(r -1)

You have n=8, a1=4, r=3, so the sum is ...

  S8 = 4·(3^8 -1)/(3 -1) = 2(3^8 -1) = 13,120

olya-2409 [2.1K]2 years ago
6 0

Answer:

<h2><u>1</u><u>3</u><u> </u><u>1</u><u>2</u><u>0</u></h2>

Step-by-step explanation:

hope it helps u too

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Sveta_85 [38]
Answer C or the third one
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3 years ago
Jeremy has 50 ft of fencing to enclose a rectangular-pen for his dog. He plans on using a side of his house for one side of the
kotykmax [81]

The dimensions such as length is 18 and width is 16 or length is 32 and width is 9 will produce an enclosed area of 288ft.

<h3>What is the dimension of length and width?</h3>

We know that,

P = l + 2w

50 = l + 2w

50 - 2w = l

A = l x w

288 = (50 - 2w)w

288 = 50w -2w²

2w² - 50w + 288

By dividing throughout by 2

w² - 25w + 144

This is in quadratic equation form.

By applying quadratic formula,

w = (-(-25) ± \sqrt{(-25)^{2}-4*1*144) / 2

w = (-(-25) ± 7)/2

w1 =  (-(-25) + 7)/2

w1 = (25 + 7) / 2

w1 = 16

w2 =  (-(-25) - 7)/2

w2 = (25 - 7) / 2

w2 = 9

By substituting the values in eq1,

A = l x w

if w = 16

288 = l x 16

l = 288/16

l = 18

if w = 9

288 = l x 9

l = 288/9

l = 32

The dimensions will be length is 18 and width is 16 or length is 32 and width is 9.

To learn more about area of rectangle refer to :

brainly.com/question/25292087

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3 0
11 months ago
0.13x0.11=????????????????
andre [41]

Answer:

0.0143 in decimal form

Step-by-step explanation:

3 0
3 years ago
-3x^2-6x solve using the gcf
Vladimir [108]

Answer:

x = - 2, x = 0

Step-by-step explanation:

- 3x² - 6x ← factor out - 3x from each term

= - 3x(x + 2)

To solve equate to zero

- 3x(x + 2) = 0

Equate each factor to zero and solve for x

- 3x = 0 ⇒ x = 0

x + 2 = 0 ⇒ x = - 2

6 0
2 years ago
Read 2 more answers
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melisa1 [442]
1. She got 9 questions wrong. 

2. I believe the total is $44.80 
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2 years ago
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