bande001 bande001
  • 04-08-2021
  • Mathematics
contestada

What is the sum of the geometric series below?

3+1+1/3+1/9+1/27

Respuesta :

manamoto13 manamoto13
  • 04-08-2021

Answer:

The correct answer for your geometric series is 4 13/27 (mixed form) or 121/27.

Step-by-step explanation:

Ver imagen manamoto13
Answer Link
devishri1977
devishri1977 devishri1977
  • 04-08-2021

Answer:

Step-by-step explanation:

r =term 1 ÷ term 2 = 1 ÷ 3 = 1/3

a =term 1 = 3

n = 5

[tex]Sum = \frac{a(1-r^{n})}{1-r}[/tex]

        [tex]= \frac{3*(1-(\frac{1}{3})^{5}}{1-\frac{1}{3}}\\\\=\frac{3*(1-\frac{1}{243})}{\frac{2}{3}}\\\\=\frac{3*\frac{242}{243}}{\frac{2}{3}}\\\\=3*\frac{242}{243}*\frac{3}{2}\\\\=\frac{121}{27}\\\\=4 \frac{13}{27}[/tex]

Answer Link

Otras preguntas

Nine negative third power in standard form
Read this excerpt from Lincoln’s "The Gettysburg Address." But, in a larger sense, we cannot dedicate – we cannot consecrate – we cannot hallow this ground. The
If you were doing a presentation about "balance of trade," which journal entry would likely be the MOST helpful? "Exports Take a Strong Hit in 3rd Quarter" "Pri
determine the equation of the polynomial, p(x),in both factored and standard form. Solve the inequality p(x)<0.
What is the difference between a nucleotide and a nucleoside?
How whould better education and health care help many African countries improve their economies
Sara can be described as
4. Find the monthly average for each list of year-end utility costs given: electricity: $2,340.00 telephone: $470.00 gas: $1,650.00
Please Help me plzzzzzclick above​
Solve. x + 3 5 = 2 A) -5 B) -3 C) 7 D) 13