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
natima [27]
3 years ago
15

The 5th term in a geometric sequence is 120. The 7th term is 30. What are the possible values of the 6th term of the sequence.

Mathematics
1 answer:
klemol [59]3 years ago
3 0

Answer:

± 60

Step-by-step explanation:

aₙ = a₁ * rⁿ⁻¹

a₇ = 30 = a₁ * r⁷⁻¹ = a₁ * r⁶     (1)

a₅ = 120 = a₁ * r⁵⁻¹ = a₁ * r⁴     (2)

(1)/(2): 30/120 = 1/4 = r²

r = ± 1/2   or ± 0.5

a₁ = a₇/r⁶ = 30/0.5⁶ = 1920

a₆ = 1920 * (± 1/2)⁶⁻¹ = 1920 * ± 1/32 = ± 60

You might be interested in
The admission fee at a small rodeo is $8.50 for children and $15.00 for adults. On a certain day, 400 people enter the rodeo and
zavuch27 [327]

Answer:

jj

Step-by-step explanation:

5 0
3 years ago
HELP!!!!!!!!!!!!!
GarryVolchara [31]

we have that

f(x)=3x-2

g(x)=4x-1

 

3x-2=4x-1-------------> 4x-3x=-2+1--- > x=-1

find the value of f(x) or g(x) for x=-1

f(x)=3x-2 ------->  f(-1)=3*(-1)-2 ------> f(-1)=-5

the solution is the point (-1,-5)

 

using a graph tool

see the attached figure

 

the answer is 

<span>case (A) The solution of the equation is the x-coordinate of the ordered pair where the graphs of the two functions intersect.</span>

7 0
3 years ago
Read 2 more answers
Please help with this simple question!!!
strojnjashka [21]
456- 12= 444
37×12= 444
=12
7 0
3 years ago
The Henley's took out a loan for $195,000 to purchase a home. At a 4.3% interest rate
ella [17]

Interest paid after 30 years is $494,546.99.

Solution:

Principal (P) = $195,000

Interest rate (r) = 4.3%

Time (t) = 30 years

n = number of times interest calculated per year

n = 1

Compound interest formula:

$A=P\left(1+\frac{r}{n}\right)^{n t}

where A is the final amount

$A=195000\left(1+\frac{4.3\%}{1}\right)^{1\times 30}

$A=195000\left(1+\frac{4.3}{100}\right)^{30}

$A=195000\left(\frac{100+4.3}{100}\right)^{30}

$A=195000\left(\frac{104.3}{100}\right)^{30}

A = 689546.99

Interest = Amount  - Principal

             = 689546.99 - 195000

             = 494546.99

Interest paid after 30 years is $494,546.99.

6 0
4 years ago
What is the volume of the cylinder
evablogger [386]
The answer is the first option, you multiply 14^2 by 9
4 0
4 years ago
Other questions:
  • What is the common difference of the arithmetic sequence? −10x, −7x, −4x, −x, 2x, 5x, ... A) −3x B) −3 C) 3 D) 3x
    7·1 answer
  • Given a mean of 150 and a standard deviation of 25:
    5·1 answer
  • 15 POINT!!!!!!!!!!I NEED HELP IM FAILING
    14·2 answers
  • What does 20/15/10 mean
    6·1 answer
  • A restaurant reports a net income of -1,242 over a three month period. What is the average income per month for that period, (Pl
    10·1 answer
  • What is the square root of 1,563?
    7·1 answer
  • Given the following exponential function, identify whether the change represents
    6·1 answer
  • A package of 5 pairs of insulated socks costs $ 43.95. What is the unit price of the pairs of socks? The unit price is $ per pai
    14·1 answer
  • IMPORTANT PLEASE HELP
    11·1 answer
  • Determine which function has the greatest rate of change as x approaches infinity. f(x) = 4x 50 g(x) = 3x − 4 h(x) = 2x2 9x − 4
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!