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
expeople1 [14]
2 years ago
9

Write the first six terms of the geometric sequence with the first term 6 and common ratio 1/3

Mathematics
1 answer:
Alja [10]2 years ago
6 0

Answer:

6, 2, 2/3, 2/9, 2/27, 2/81

Step-by-step explanation:

The nth term of a geometric progression is expressed as;

Tn  = ar^n-1

a is the first term

n is the number of terms

r is the common ratio

Given

a = 6

r = 1/3

when n = 1

T1 = 6(1/3)^1-1

T1 = 6(1/3)^0

T1 = 6

when n = 2

T2= 6(1/3)^2-1

T2= 6(1/3)^1

T2 = 2

when n = 3

T3 = 6(1/3)^3-1

T3= 6(1/3)^2

T3= 6 * 1/9

T3 = 2/3

when n = 4

T4 = 6(1/3)^4-1

T4= 6(1/3)^3

T4= 6 * 1/27

T4 = 2/9

when n = 5

T5 = 6(1/3)^5-1

T5= 6(1/3)^4

T5= 6 * 1/81

T5 = 2/27

when n = 6

T6 = 6(1/3)^6-1

T6= 6(1/3)^5

T6= 6 * 1/243

T6 = 2/81

Hence the first six terms are 6, 2, 2/3, 2/9, 2/27, 2/81

You might be interested in
Which table represents a function?
Oliga [24]

Answer:

table 1

Step-by-step explanation:

table one, because you have different value of x (inputs) with no repetition for the same value

5 0
3 years ago
Can someone help with these? ik the answers i just don’t know how to show work
Nonamiya [84]

Step-by-step explanation:

use trigonometry ratios

8 0
3 years ago
PLEASE HELPPPP
Illusion [34]

Answer:

  • p = 3/10

Step-by-step explanation:

<u>Given equation:</u>

  • 20p = 6

<u>Divide both sides by 20:</u>

  • p = 6/20

<u>Simplify:</u>

  • p = 3/10
6 0
2 years ago
Read 2 more answers
4) Allison practices her violin for at least 12 hours per week. She practices for three fourths of an hour each
zaharov [31]

Answer:

12

Step-by-step explanation:

So, she practices 12 hrs per week, and already has practiced 3 hrs this week.

This means she has 9 hrs left to practice.

3/4 of an hour is one session, so to find out the number of sessions she needs, you have to do (9 hours)/(one session)

which is basically 9 / ( 3/4)

\frac{9}{3/4}=\frac{9}{1} / \frac{3}{4}  = \frac{9}{1} * \frac{4}{3} = \frac{36}{3}  = 12

She needs 12 more sessions.

7 0
2 years ago
Read 2 more answers
What is the value of x in the equation , when y = 3?
sashaice [31]

Answer:

9

Step-by-step explanation:

I think the answer would be 9 but I'm not for sure

4 0
3 years ago
Read 2 more answers
Other questions:
  • at 7p.m. last night, the temperature was 10 degree fahrenheit. at 7a.m. the next morning, the temperature was -2 degrees fahrenh
    6·1 answer
  • Determine the equation of the line that is perpendicular to the lines r(t)=(-2+3t,2t,3t)
    12·1 answer
  • Use this figure to find the value of y ... Please help
    5·2 answers
  • Help urgent!!!!!!!!!!!
    8·2 answers
  • $73 is what percent of $125
    9·1 answer
  • Look at the equation shown below.
    9·1 answer
  • 6+2 divided by 15 (76 x 100)= ??
    7·2 answers
  • Find it!?!?!??!!!!!​
    5·2 answers
  • 1/5<br><br> 0<br><br> 5/1<br><br> undefined
    13·1 answer
  • Bro i need help with this 8th grade math work
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!