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
marishachu [46]
3 years ago
5

Consider a geometric sequence with a first term of 4 and a fourth term of -2.916.

Mathematics
1 answer:
Orlov [11]3 years ago
4 0

Answer:

a) Find the common ratio of this sequence.

Answer: -0.82

b) Find the sum to infinity of this sequence.

Answer: 2.2

Step-by-step explanation:

nth term in geometric series is given by 4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{0.549} \\r = 0.82

where

a is the first term

r is the common ratio and

n is the nth term

_________________________________

given

a = 4

4th term = -2.196

let

common ratio of this sequence. be r

4\ th \ term = ar^n-1\\-2.196 = 4r^{4-1} \\-2.196/4 = r^{3} \\r = \sqrt[3]{-0.549} \\r = -0.82

a) Find the common ratio of this sequence.

answer: -0.82

sum of infinity of geometric sequence is given by = a/(1-r)

thus,

sum to infinity of this sequence = 4/(1-(-0.82) = 4/1.82 = 2.2

You might be interested in
Approximate the number using a calculator 8^1.4
11111nata11111 [884]

Answer : It Is 18 Rounded Or 18.37917368

Enjoy.  ◊ YusuCr ◊

8 0
2 years ago
Read 2 more answers
What is the recursive rule for the sequence?
babymother [125]

Answer:

a_{n} =a_{n-1} -5.6 where a_{1} =-2.7

Step-by-step explanation:

This is an arithmetic sequence with the first term is a_{1} = -2.7 and has a common difference of d=-5.6.

Arithmetic Sequence: a_{n} =a_{n-1} +d

a_{n} is the nth term and d is the common difference.

The common difference: -2.7, -8.3, -13.9...

Subtract: -2.7- (-8.3) = -5.6, -13.9 - (-8.3) = -5.6

Common difference: d = -5.6

Recursive rule: a_{n} = a_{n-1} -5.6

7 0
2 years ago
What an angel adjacent to < igf
dem82 [27]

Answer:

Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap. Because: they have a common side (line CB)

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
The coefficient of 2(3)(6)Q is
Digiron [165]
I don’t want to know what you gonna were like when you were were going home to get me your hair and I was gonna I wanna is the night you guys are going wyeywywywywyw was the day I wanna go down there and eat it and go eat and then come pick ya up and then come pick ya up and then come pick ya up and then titillation was gonna you go like you coming back from the beach you can come over to your
6 0
3 years ago
What's does 1000(3)h mean
insens350 [35]
Multiplication!

your answer to that should be 3000h

I hope this helps!

if you have any further questions, please feel free to private message me!
8 0
3 years ago
Other questions:
  • The radius of a cylindrical gift box is ​(3x +4)) inches. The height of the gift box is twice the radius. What is the surface ar
    5·1 answer
  • A farmer has 300 ft of fencing with which to enclose a rectangular pen next to a barn. The barn itself will be used as one of th
    12·1 answer
  • Write a polynomial function with the zeros 1, -2i
    10·1 answer
  • Solve formula v=kt/p for t
    11·1 answer
  • You are carpeting a boardroom which measures 16 feet by 14.5 feet
    9·1 answer
  • Find the area of the triangle ? Square units
    11·2 answers
  • What type of function do you think models the amount of medicine in a person’s bloodstream after a certain amount of time?
    11·1 answer
  • What is sin, tan, and sec
    9·2 answers
  • Where is each answer
    14·1 answer
  • NO LINKS OR ELSE YOU'LL BE REPORTED! Please give me the correct answer.Only answer if you're very good at math.​
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!