1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
earnstyle [38]
2 years ago
12

Write the sum using summation notation, assuming the suggested pattern continues. 6, -18, 54, -162, +… Is this sequence arithmet

ic or geometric? Explain your answer.
Mathematics
1 answer:
telo118 [61]2 years ago
7 0

Answer:

Hello,

This sequence is geometric with a ratio of -3

the first term is 6

Step-by-step explanation:

u_1=6\\u_2=-18=6*(-3)=u_1*(-3)\\u_3=54=-18*(-3)=u_2*(-3)=u_1*(-3)^2\\u_4=-162=u_3*(-3)=u_1*(-3)^3\\\\...\\u_{n+1}=u_1*(-3)^n\\\\\displaystyle \sum\limits^\infty _{i=1}u_i = \lim_{n \to \infty} \sum\limits^n _{i=1}u_1*(-3)^{i-1}\\=6*\lim_{n \to \infty} \sum\limits^\infty _{i=1}(-3)^{i-1}\\=6*\frac{1-(-3)^n}{1-(-3)} \\=\dfrac{3}{2} *({1-(-3)^n)\\

serie does not converge.

You might be interested in
How to draw the picture
kati45 [8]
Draw four boxes. Put five balloons in one box with the characters in them and write 1/4 under that box. Then draw five balloons in the other boxes, then draw one big box with the total amount of balloons in them.
3 0
3 years ago
Read 2 more answers
A soccer team is having a car wash.The team spent $55 on supplies and earned $275,including tips. The teams's profit is the amou
Dafna11 [192]

hey there

the answer is

220

thanks

SAVAGELEGEND72

6 0
3 years ago
A pack of pencils, p, costs $1.99. A school buys $129.35 worth of pencils.
rosijanka [135]

Answer:

p=65. the value of p is the amount of pencils packs.

Step-by-step explanation:

1.99p=129.35

129.35/1.99=65

6 0
2 years ago
Los 2/7 de los vecinos de la casa de ángel son extremeños y ka cuarta parte de estos son Cáceres sabiendo que hay seis vecinos d
Anna [14]
Same lol I need English 
8 0
3 years ago
Factor the expression 3x^(2)+10x+8
marin [14]

Hello,

If we want to factor the expression, we have to solve

3x² + 10x + 8 = 0

a = 3 ; b = 10 ; c = 8

∆ = b² - 4ac = 10² - 4 × 3 × 8 = 4 > 0

x1 = (-b - √∆)/2a = (-10 - 2)/6 = -12/6 = -2

x2 = (-b + √∆)/2a = (-10 + 2)/6 = -8/6 = -4/3

Factor :

a (x - x1)(x - x2)

= 3(x + 2)(x + 4/3)

= (x + 2)(3x + 4)

8 0
2 years ago
Other questions:
  • What is the side length of the eectagkes
    15·1 answer
  • The area of a parallelogram is 96 cm2. The height of the parallelogram is 4 cm less than the length of the base. What is the len
    15·2 answers
  • (-12, -1) and (-3,-4)
    7·1 answer
  • Which system of equations does not have a real solution?
    8·2 answers
  • The Student Government at Arlington High School decided to conduct a survey to determine where to go on
    6·1 answer
  • When James spent 10 minutes doing push-ups and 50 minutes swimming, his fitness app said that he burned 447 calories. Similarly,
    15·1 answer
  • Which of the SMART criteria are NOT met by this data analytics project goal (pay close attention to whether the options are word
    11·1 answer
  • $5000 grew to $9000 at the compound interest of 12% per annum what was the years taken for the investment​
    15·1 answer
  • Choose the product.
    6·1 answer
  • Use the monthly payment formula to find the monthly payment for a $1,000, one year
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!