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
Misha Larkins [42]
3 years ago
8

A G.P is such that the 3rd term minus a first term is 48. The 4th term minus 2nd term 144. Find: (i) Common ratio ii) The first

term (ii) 6th term of the sequence​
Mathematics
1 answer:
EleoNora [17]3 years ago
8 0

Answer:

Step-by-step explanation:

r is the common ratio.

Third term minus first term is 48.

a₃ - a₁ = 48

a₃ = a₁r²

a₁r² - a₁ = 48

a₁(r²-1) = 48

r²-1 = 48/a₁

Fourth term minus second term is 144.

a₄ - a₂ = 144

a₂ = a₁r

a₄ = a₁r³

a₁r³ - a₁r = 144

a₁r(r²-1) = 144

r²-1 = 144/(a₁r)

48/a₁ = 144/(a₁r)

r = 3

:::::

r²-1 = 48/a₁

a₁ = 6

:::::

a₆ = a₁r⁵ = 1458

You might be interested in
Translate the sentence into an inequality.<br> A number b divided by 7 is at least – 16.
Allisa [31]

Answer:

Step-by-step explanation:

\frac{b}{7} ≥ - 16

4 0
3 years ago
Read 2 more answers
In multiplication what is 707 - 58
zzz [600]
707 times 58 = 41,006 
5 0
3 years ago
Read 2 more answers
What is 1.67x10^-4 in standard form?
geniusboy [140]

Answer:

.000167

Step-by-step explanation:

To get 1.67x10^-4  into standard from, we move the decimal to the left (the negative sign means to the left)  4 places.  That means we need to add 3 zero's.

.000167

6 0
3 years ago
Which of the following are a solution to be inequality?
antoniya [11.8K]
V=7 and v=5 because since it says less than or equal to it has to be a number less than 7 or a number equal to 7
7 0
3 years ago
Help ASAP!!!!!!!!!!!!!!!! 25 points
tensa zangetsu [6.8K]

Answer: range is 4, mode is one because you can also think of mode as the most popular, median is the one in the middle and that would be 2, and mean would be 4.5 your welcome

Step-by-step explanation:

3 0
3 years ago
Other questions:
  • the population of chicago is about 3,000,000. how does that compare to the total number of dead and wounded (37,000,000) in worl
    5·1 answer
  • A rectangle with an area of 120 in2 has a length 8 inches longer than two times its width. What is the width of the rectangle
    11·2 answers
  • Write an equation of the line in slope-intercept form that passes through the given point with the given slope. (1,9) slope 4
    12·1 answer
  • A school needs 25 butterfly breeding kits, and places an order with an educational company. They already have 7 kits, and they r
    7·2 answers
  • The function f(x) = 5(1.24)^x models the length (cm) of a lizard each week from the beginning of the lizards life. In the model,
    13·2 answers
  • With gasoline prices increasing, drivers are more concerned with their cars’ gasoline consump- tion. For the past 5 years, a dri
    13·1 answer
  • 7x4power -5x4power =
    5·1 answer
  • Martha has two jobs. One pays $15 per hour, and she works at that job 10 hours per week. The other job pays $13 per hour, and sh
    10·2 answers
  • What is the number of degrees the minute hand of a clock moves between 10:21 and 10:34 pm on the same day?
    15·2 answers
  • 52,300,000 in scientific rotation
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!