2 years ago

The sum of all the positive terms in the geometric sequence 54, - 36, 24, - 16, ... is

Mathematics

1 answer:

Annette [7]2 years ago

8 0

Answer:

B. 97.2

Step-by-step explanation:

The sequence of positive terms is ...

54, 24, 10 2/3, 4 20/27, ...

This sequence has first term 54 and common ratio 24/54 = 4/9. The sum of the infinite series is ...

S = a1/(1 -r) = 54/(1 -4/9) = 54(9/5)

S = 97.2

The sum of the positive terms in the infinite series is 97.2.

You might be interested in

Identify each number as prime or composite.Then list all of it's factors

azamat

Prime numbers : 3, 29
Factors of 3 : 1, 3
Factors of 29 : 1, 29
Composite numbers : 6, 15, 24
Factors of 6 : 1, 2, 3 , 6
Factors of 15 : 1, 3 , 5, 15
Factors of 24 : 1, 2, 3, 4, 6, 8, 12, 24

3 0

2 years ago

Heyyy Friends!! Whats 9+(1*1)+6=??

aev [14]

Answer:

16 :)

Step-by-step explanation:

5 0

2 years ago

If (50)x = 1, what are the possible values of x? Explain your answer

Lelechka [254]

Than you multiplie tha 50 by 1/50 so will get 50/50 what is equal 1

hope this is understandably sure right easy

5 0

2 years ago

How much more area does a large pizza with a 12 in. diameter have than a small pizza with an 8 in. diameter? Round your answer t

ivolga24 [154]

Answer: About 63 in²

Step-by-step explanation:

Area of circle = π · r²

r = radius length
π ≈ 3.14

Area of large pizza:

$\pi *r^{2} =3.14*6^{2} =3.14*36=113.04$

Area of small pizza:

$\pi *r^{2} =3.14*4^{2} =3.14*16=50.24$

Difference in area:

$113.04-50.24=62.8$

4 0

2 years ago

What is 4/15 divided by 2/3?

BaLLatris [955]

Answer: 0.4 or 2/5

Hope it helps!

5 0

2 years ago