jakeness1133 jakeness1133
  • 04-01-2021
  • Mathematics
contestada

The first three terms of a geometric sequence are 27, -9 and 3.
What is the value of the common ratio, r?

Respuesta :

Magi46 Magi46
  • 04-01-2021

Answer:

Step-by-step explanation:

Now sum of infinite series is  

a

1

−

r

and if first three term are removed, fourth term becomes the first term i.e. first term becomes  

a

r

3

and

sum of infinite series becomes  

a

r

3

1

−

r

As  

a

1

−

r

=

27

×

a

r

3

1

−

r

27

r

3

=

1

or  

r

3

=

1

27

and  

r

=

1

3

and hence

Common ratio is  

1

3

Answer Link

Otras preguntas

Miranda practice piano the same amount of time each day. In eight days time she practice total of 6 hours. What fraction of an hour did Miranda play each day.
According to Molly Ivins, enjoying your work is important because _____. A.)if you don't enjoy what you do you will become tired, cynical, and burned out B.)yo
(x^3)^-5 solution please! 1/x^15 x^15 x^8 1/x^8
Which side lengths could be used to form a triangle? 2 cm, 3 cm, 12 cm 15 cm, 7 cm, 5 cm 14 cm, 20 cm, 32 cm 10 cm, 25 cm, 15 cm
Find cot x if sin x cot x csc x = sqrt2
What form is energy in when it enters a food chain and when it leaves a food chain?
estimate 4/6+3/8 using benchmarks
The perimeter of a rectangle is 289 yards. The length is 82 yards. What is the width
Which statement best describes a stream with a steep gradient?
How many non bonded electron pairs are in the tetracyanoethylene molecule?