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Savatey [412]
3 years ago
7

If u help me i will give u knicks by cochise

Mathematics
1 answer:
Alika [10]3 years ago
7 0

Answer:

6

Step-by-step explanation:

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What is the sum of the infinite geometric series? Sigma-Summation Underscript n = 1 Overscript 4 EndScripts (negative 144) (one-
Irina18 [472]

The sum of the infinite geometric series is -288.

<h2>Given that</h2>

A finite geometric series with n = 4, a₁ = -144, and r = ½.

<h3>We have to determine</h3>

What is the sum of the infinite geometric series?

<h3>According to the question</h3>

The sum of the infinite is determined by the following formula;

\rm S\infty = \dfrac{a_1(1-r^n)}{1-r}\\\\

A finite geometric series with n = 4, a₁ = -144, and r = ½.

Substitute all the values in the formula;

\rm S\infty = \dfrac{a_1(1-r^n)}{1-r}\\\\S\infty = \dfrac{-144 (1- \dfrac{1}{2}^4)}{1-\dfrac{1}{2}}\\\\S \infty = \dfrac{-144 \times \dfrac{15}{16}}{\dfrac{1}{2}}\\\\S \infty = -270

Therefore,

The sum of the infinite geometric series is,

\rm S = \dfrac{a_1}{1-r}\\\\S=\dfrac{-144}{1-\dfrac{1}{2}}\\\\S = \dfrac{-144}{0.5}\\\\S = -288

Hence, the sum of the infinite geometric series is -288.

To know more about Geometric Series click the link given below.

brainly.com/question/16037289

5 0
3 years ago
A flower bed has the shape of a rectangle 15 feet long and 12 feet wide. What is its area in square yards? Be sure to include th
Mariulka [41]

Answer:

180 ft.^2

Step-by-step explanation:

15 ft. × 12 ft.= 180 ft.^2

5 0
3 years ago
What number must be added to the expression below to complete the square? X^2-7x
Yuki888 [10]

Answer:

49/4

Step-by-step explanation:

x² -7x +(7/2)²=(x-7/2)²

x²-2x·7/2+ (7/2)²=(x²-7/2)²

(7/2)²=49/4

3 0
3 years ago
What is the greatest common factor of 20 32 and 88
Zepler [3.9K]
20|2\\10|2\\.\ 5|5\\.\ 1|\\20=\fbox2\times\fbox2\times5\\\\32|2\\16|2\\.\ 8|2\\.\ 4|2\\.\ 2|2\\.\ 1|\\32=\fbox2\times\fbox2\times2\times2\times2\\\\88|2\\44|2\\22|2\\11|11\\.\ 1|\\88=\fbox2\times\fbox2\times2\times11\\\\GCF(20;\ 32;\ 88)=\fbox2\times\fbox2=4
7 0
3 years ago
Help algebra 2 please
34kurt

Answer:

option 4

Step-by-step explanation:

(f*g)(x) =(x² + x+ 1)*(x² - x -1)

           = x²*(x² - x -1)   + x(x² - x -1) + 1*( x² - x -1)

            = x²*x² - x²*x -x²*1   + x*x² - x*x -x*1 + x² - x -1

            = x⁴ - x³ - x² +x³ - x²  - x  + x² - x -1

           = x⁴  - x³ + x³  - x² - x² + x² - x - x - 1

       = x⁴ - x² - 2x - 1

4 0
3 years ago
Read 2 more answers
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